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Finding the Third Proportional to 40,350 and 62,735

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Solution

The third proportional to 40,350 and 62,735 is: 97,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,350 : 62,735 = 62,735 : x
  2. Step 2: Convert to fraction form
    40,350/62,735 = 62,735/x
  3. Step 3: Cross multiply
    40,350x = 62,735 × 62,735
  4. Step 4: Simplify right side
    40,350x = 3,935,680,225
  5. Step 5: Solve for x
    x = 3,935,680,225/40,350
  6. Step 6: Final answer
    x = 97,538.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.