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Finding the Third Proportional to 30,153.75 and 45,537.75

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Solution

The third proportional to 30,153.75 and 45,537.75 is: 68,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,153.75 : 45,537.75 = 45,537.75 : x
  2. Step 2: Convert to fraction form
    30,153.75/45,537.75 = 45,537.75/x
  3. Step 3: Cross multiply
    30,153.75x = 45,537.75 × 45,537.75
  4. Step 4: Simplify right side
    30,153.75x = 2,073,686,675.06
  5. Step 5: Solve for x
    x = 2,073,686,675.06/30,153.75
  6. Step 6: Final answer
    x = 68,770.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.