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Finding the Third Proportional to 26,808 and 37,680

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Solution

The third proportional to 26,808 and 37,680 is: 52,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,808 : 37,680 = 37,680 : x
  2. Step 2: Convert to fraction form
    26,808/37,680 = 37,680/x
  3. Step 3: Cross multiply
    26,808x = 37,680 × 37,680
  4. Step 4: Simplify right side
    26,808x = 1,419,782,400
  5. Step 5: Solve for x
    x = 1,419,782,400/26,808
  6. Step 6: Final answer
    x = 52,961.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.