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Finding the Third Proportional to 40,634 and 59,747

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Solution

The third proportional to 40,634 and 59,747 is: 87,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,634 : 59,747 = 59,747 : x
  2. Step 2: Convert to fraction form
    40,634/59,747 = 59,747/x
  3. Step 3: Cross multiply
    40,634x = 59,747 × 59,747
  4. Step 4: Simplify right side
    40,634x = 3,569,704,009
  5. Step 5: Solve for x
    x = 3,569,704,009/40,634
  6. Step 6: Final answer
    x = 87,850.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.