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Finding the Third Proportional to 38,430 and 60,153.75

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Solution

The third proportional to 38,430 and 60,153.75 is: 94,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430 : 60,153.75 = 60,153.75 : x
  2. Step 2: Convert to fraction form
    38,430/60,153.75 = 60,153.75/x
  3. Step 3: Cross multiply
    38,430x = 60,153.75 × 60,153.75
  4. Step 4: Simplify right side
    38,430x = 3,618,473,639.06
  5. Step 5: Solve for x
    x = 3,618,473,639.06/38,430
  6. Step 6: Final answer
    x = 94,157.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.