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Finding the Third Proportional to 27,408 and 58,972

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Solution

The third proportional to 27,408 and 58,972 is: 126,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 58,972 = 58,972 : x
  2. Step 2: Convert to fraction form
    27,408/58,972 = 58,972/x
  3. Step 3: Cross multiply
    27,408x = 58,972 × 58,972
  4. Step 4: Simplify right side
    27,408x = 3,477,696,784
  5. Step 5: Solve for x
    x = 3,477,696,784/27,408
  6. Step 6: Final answer
    x = 126,886.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.