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Finding the Third Proportional to 27,840 and 58,414

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Solution

The third proportional to 27,840 and 58,414 is: 122,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840 : 58,414 = 58,414 : x
  2. Step 2: Convert to fraction form
    27,840/58,414 = 58,414/x
  3. Step 3: Cross multiply
    27,840x = 58,414 × 58,414
  4. Step 4: Simplify right side
    27,840x = 3,412,195,396
  5. Step 5: Solve for x
    x = 3,412,195,396/27,840
  6. Step 6: Final answer
    x = 122,564.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.