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Finding the Third Proportional to 27,494 and 61,284

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Solution

The third proportional to 27,494 and 61,284 is: 136,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494 : 61,284 = 61,284 : x
  2. Step 2: Convert to fraction form
    27,494/61,284 = 61,284/x
  3. Step 3: Cross multiply
    27,494x = 61,284 × 61,284
  4. Step 4: Simplify right side
    27,494x = 3,755,728,656
  5. Step 5: Solve for x
    x = 3,755,728,656/27,494
  6. Step 6: Final answer
    x = 136,601.76

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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.