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Finding the Third Proportional to 27,452 and 41,564

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Solution

The third proportional to 27,452 and 41,564 is: 62,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452 : 41,564 = 41,564 : x
  2. Step 2: Convert to fraction form
    27,452/41,564 = 41,564/x
  3. Step 3: Cross multiply
    27,452x = 41,564 × 41,564
  4. Step 4: Simplify right side
    27,452x = 1,727,566,096
  5. Step 5: Solve for x
    x = 1,727,566,096/27,452
  6. Step 6: Final answer
    x = 62,930.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.