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Finding the Third Proportional to 39,483 and 87,714

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Solution

The third proportional to 39,483 and 87,714 is: 194,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,483 : 87,714 = 87,714 : x
  2. Step 2: Convert to fraction form
    39,483/87,714 = 87,714/x
  3. Step 3: Cross multiply
    39,483x = 87,714 × 87,714
  4. Step 4: Simplify right side
    39,483x = 7,693,745,796
  5. Step 5: Solve for x
    x = 7,693,745,796/39,483
  6. Step 6: Final answer
    x = 194,862.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.