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Finding the Third Proportional to 39,623 and 63,714

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Solution

The third proportional to 39,623 and 63,714 is: 102,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,623 : 63,714 = 63,714 : x
  2. Step 2: Convert to fraction form
    39,623/63,714 = 63,714/x
  3. Step 3: Cross multiply
    39,623x = 63,714 × 63,714
  4. Step 4: Simplify right side
    39,623x = 4,059,473,796
  5. Step 5: Solve for x
    x = 4,059,473,796/39,623
  6. Step 6: Final answer
    x = 102,452.46

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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.