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Finding the Third Proportional to 39,714 and 61,749

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Solution

The third proportional to 39,714 and 61,749 is: 96,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714 : 61,749 = 61,749 : x
  2. Step 2: Convert to fraction form
    39,714/61,749 = 61,749/x
  3. Step 3: Cross multiply
    39,714x = 61,749 × 61,749
  4. Step 4: Simplify right side
    39,714x = 3,812,939,001
  5. Step 5: Solve for x
    x = 3,812,939,001/39,714
  6. Step 6: Final answer
    x = 96,009.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.