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Finding the Third Proportional to 26,134 and 40,478

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Solution

The third proportional to 26,134 and 40,478 is: 62,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,134 : 40,478 = 40,478 : x
  2. Step 2: Convert to fraction form
    26,134/40,478 = 40,478/x
  3. Step 3: Cross multiply
    26,134x = 40,478 × 40,478
  4. Step 4: Simplify right side
    26,134x = 1,638,468,484
  5. Step 5: Solve for x
    x = 1,638,468,484/26,134
  6. Step 6: Final answer
    x = 62,694.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.