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Finding the Third Proportional to 10,432.50 and 15,642.75

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Solution

The third proportional to 10,432.50 and 15,642.75 is: 23,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.50 : 15,642.75 = 15,642.75 : x
  2. Step 2: Convert to fraction form
    10,432.50/15,642.75 = 15,642.75/x
  3. Step 3: Cross multiply
    10,432.50x = 15,642.75 × 15,642.75
  4. Step 4: Simplify right side
    10,432.50x = 244,695,627.56
  5. Step 5: Solve for x
    x = 244,695,627.56/10,432.50
  6. Step 6: Final answer
    x = 23,455.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.