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Finding the Third Proportional to 27,240 and 58,781

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Solution

The third proportional to 27,240 and 58,781 is: 126,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240 : 58,781 = 58,781 : x
  2. Step 2: Convert to fraction form
    27,240/58,781 = 58,781/x
  3. Step 3: Cross multiply
    27,240x = 58,781 × 58,781
  4. Step 4: Simplify right side
    27,240x = 3,455,205,961
  5. Step 5: Solve for x
    x = 3,455,205,961/27,240
  6. Step 6: Final answer
    x = 126,843.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.