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Finding the Third Proportional to 26,874 and 58,527

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Solution

The third proportional to 26,874 and 58,527 is: 127,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874 : 58,527 = 58,527 : x
  2. Step 2: Convert to fraction form
    26,874/58,527 = 58,527/x
  3. Step 3: Cross multiply
    26,874x = 58,527 × 58,527
  4. Step 4: Simplify right side
    26,874x = 3,425,409,729
  5. Step 5: Solve for x
    x = 3,425,409,729/26,874
  6. Step 6: Final answer
    x = 127,461.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.