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Finding the Third Proportional to 27,492 and 61,280

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Solution

The third proportional to 27,492 and 61,280 is: 136,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492 : 61,280 = 61,280 : x
  2. Step 2: Convert to fraction form
    27,492/61,280 = 61,280/x
  3. Step 3: Cross multiply
    27,492x = 61,280 × 61,280
  4. Step 4: Simplify right side
    27,492x = 3,755,238,400
  5. Step 5: Solve for x
    x = 3,755,238,400/27,492
  6. Step 6: Final answer
    x = 136,593.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.