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Finding the Third Proportional to 43,200 and 62,432

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Solution

The third proportional to 43,200 and 62,432 is: 90,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 62,432 = 62,432 : x
  2. Step 2: Convert to fraction form
    43,200/62,432 = 62,432/x
  3. Step 3: Cross multiply
    43,200x = 62,432 × 62,432
  4. Step 4: Simplify right side
    43,200x = 3,897,754,624
  5. Step 5: Solve for x
    x = 3,897,754,624/43,200
  6. Step 6: Final answer
    x = 90,225.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.