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Finding the Third Proportional to 27,540 and 56,532

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Solution

The third proportional to 27,540 and 56,532 is: 116,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540 : 56,532 = 56,532 : x
  2. Step 2: Convert to fraction form
    27,540/56,532 = 56,532/x
  3. Step 3: Cross multiply
    27,540x = 56,532 × 56,532
  4. Step 4: Simplify right side
    27,540x = 3,195,867,024
  5. Step 5: Solve for x
    x = 3,195,867,024/27,540
  6. Step 6: Final answer
    x = 116,044.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.