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Finding the Third Proportional to 27,932 and 63,170

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Solution

The third proportional to 27,932 and 63,170 is: 142,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,932 : 63,170 = 63,170 : x
  2. Step 2: Convert to fraction form
    27,932/63,170 = 63,170/x
  3. Step 3: Cross multiply
    27,932x = 63,170 × 63,170
  4. Step 4: Simplify right side
    27,932x = 3,990,448,900
  5. Step 5: Solve for x
    x = 3,990,448,900/27,932
  6. Step 6: Final answer
    x = 142,862.99

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.