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Finding the Third Proportional to 26,252 and 58,282

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Solution

The third proportional to 26,252 and 58,282 is: 129,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,252 : 58,282 = 58,282 : x
  2. Step 2: Convert to fraction form
    26,252/58,282 = 58,282/x
  3. Step 3: Cross multiply
    26,252x = 58,282 × 58,282
  4. Step 4: Simplify right side
    26,252x = 3,396,791,524
  5. Step 5: Solve for x
    x = 3,396,791,524/26,252
  6. Step 6: Final answer
    x = 129,391.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.