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Finding the Third Proportional to 27,361 and 58,466

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Solution

The third proportional to 27,361 and 58,466 is: 124,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,361 : 58,466 = 58,466 : x
  2. Step 2: Convert to fraction form
    27,361/58,466 = 58,466/x
  3. Step 3: Cross multiply
    27,361x = 58,466 × 58,466
  4. Step 4: Simplify right side
    27,361x = 3,418,273,156
  5. Step 5: Solve for x
    x = 3,418,273,156/27,361
  6. Step 6: Final answer
    x = 124,932.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.