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Finding the Third Proportional to 27,395 and 59,481

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Solution

The third proportional to 27,395 and 59,481 is: 129,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,395 : 59,481 = 59,481 : x
  2. Step 2: Convert to fraction form
    27,395/59,481 = 59,481/x
  3. Step 3: Cross multiply
    27,395x = 59,481 × 59,481
  4. Step 4: Simplify right side
    27,395x = 3,537,989,361
  5. Step 5: Solve for x
    x = 3,537,989,361/27,395
  6. Step 6: Final answer
    x = 129,147.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.