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Finding the Third Proportional to 40,704 and 63,663

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Solution

The third proportional to 40,704 and 63,663 is: 99,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,704 : 63,663 = 63,663 : x
  2. Step 2: Convert to fraction form
    40,704/63,663 = 63,663/x
  3. Step 3: Cross multiply
    40,704x = 63,663 × 63,663
  4. Step 4: Simplify right side
    40,704x = 4,052,977,569
  5. Step 5: Solve for x
    x = 4,052,977,569/40,704
  6. Step 6: Final answer
    x = 99,571.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.