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Finding the Third Proportional to 26,080 and 37,374

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Solution

The third proportional to 26,080 and 37,374 is: 53,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,080 : 37,374 = 37,374 : x
  2. Step 2: Convert to fraction form
    26,080/37,374 = 37,374/x
  3. Step 3: Cross multiply
    26,080x = 37,374 × 37,374
  4. Step 4: Simplify right side
    26,080x = 1,396,815,876
  5. Step 5: Solve for x
    x = 1,396,815,876/26,080
  6. Step 6: Final answer
    x = 53,558.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.