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Finding the Third Proportional to 26,277 and 58,386

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Solution

The third proportional to 26,277 and 58,386 is: 129,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,277 : 58,386 = 58,386 : x
  2. Step 2: Convert to fraction form
    26,277/58,386 = 58,386/x
  3. Step 3: Cross multiply
    26,277x = 58,386 × 58,386
  4. Step 4: Simplify right side
    26,277x = 3,408,924,996
  5. Step 5: Solve for x
    x = 3,408,924,996/26,277
  6. Step 6: Final answer
    x = 129,730.37

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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.