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Finding the Third Proportional to 20,065.50 and 30,633

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Solution

The third proportional to 20,065.50 and 30,633 is: 46,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.50 : 30,633 = 30,633 : x
  2. Step 2: Convert to fraction form
    20,065.50/30,633 = 30,633/x
  3. Step 3: Cross multiply
    20,065.50x = 30,633 × 30,633
  4. Step 4: Simplify right side
    20,065.50x = 938,380,689
  5. Step 5: Solve for x
    x = 938,380,689/20,065.50
  6. Step 6: Final answer
    x = 46,765.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.