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Finding the Third Proportional to 27,414 and 58,704

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Solution

The third proportional to 27,414 and 58,704 is: 125,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414 : 58,704 = 58,704 : x
  2. Step 2: Convert to fraction form
    27,414/58,704 = 58,704/x
  3. Step 3: Cross multiply
    27,414x = 58,704 × 58,704
  4. Step 4: Simplify right side
    27,414x = 3,446,159,616
  5. Step 5: Solve for x
    x = 3,446,159,616/27,414
  6. Step 6: Final answer
    x = 125,708.02

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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.