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Finding the Third Proportional to 27,708 and 58,877

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Solution

The third proportional to 27,708 and 58,877 is: 125,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708 : 58,877 = 58,877 : x
  2. Step 2: Convert to fraction form
    27,708/58,877 = 58,877/x
  3. Step 3: Cross multiply
    27,708x = 58,877 × 58,877
  4. Step 4: Simplify right side
    27,708x = 3,466,501,129
  5. Step 5: Solve for x
    x = 3,466,501,129/27,708
  6. Step 6: Final answer
    x = 125,108.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.