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Finding the Third Proportional to 26,478 and 37,110

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Solution

The third proportional to 26,478 and 37,110 is: 52,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478 : 37,110 = 37,110 : x
  2. Step 2: Convert to fraction form
    26,478/37,110 = 37,110/x
  3. Step 3: Cross multiply
    26,478x = 37,110 × 37,110
  4. Step 4: Simplify right side
    26,478x = 1,377,152,100
  5. Step 5: Solve for x
    x = 1,377,152,100/26,478
  6. Step 6: Final answer
    x = 52,011.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.