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Finding the Third Proportional to 26,498 and 37,139

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Solution

The third proportional to 26,498 and 37,139 is: 52,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498 : 37,139 = 37,139 : x
  2. Step 2: Convert to fraction form
    26,498/37,139 = 37,139/x
  3. Step 3: Cross multiply
    26,498x = 37,139 × 37,139
  4. Step 4: Simplify right side
    26,498x = 1,379,305,321
  5. Step 5: Solve for x
    x = 1,379,305,321/26,498
  6. Step 6: Final answer
    x = 52,053.19

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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.