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Finding the Third Proportional to 39,654 and 63,753

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Solution

The third proportional to 39,654 and 63,753 is: 102,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,654 : 63,753 = 63,753 : x
  2. Step 2: Convert to fraction form
    39,654/63,753 = 63,753/x
  3. Step 3: Cross multiply
    39,654x = 63,753 × 63,753
  4. Step 4: Simplify right side
    39,654x = 4,064,445,009
  5. Step 5: Solve for x
    x = 4,064,445,009/39,654
  6. Step 6: Final answer
    x = 102,497.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.