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Finding the Third Proportional to 40,569 and 62,396

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Solution

The third proportional to 40,569 and 62,396 is: 95,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,569 : 62,396 = 62,396 : x
  2. Step 2: Convert to fraction form
    40,569/62,396 = 62,396/x
  3. Step 3: Cross multiply
    40,569x = 62,396 × 62,396
  4. Step 4: Simplify right side
    40,569x = 3,893,260,816
  5. Step 5: Solve for x
    x = 3,893,260,816/40,569
  6. Step 6: Final answer
    x = 95,966.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.