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Finding the Third Proportional to 26,731.50 and 37,372.13

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Solution

The third proportional to 26,731.50 and 37,372.13 is: 52,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,731.50 : 37,372.13 = 37,372.13 : x
  2. Step 2: Convert to fraction form
    26,731.50/37,372.13 = 37,372.13/x
  3. Step 3: Cross multiply
    26,731.50x = 37,372.13 × 37,372.13
  4. Step 4: Simplify right side
    26,731.50x = 1,396,675,727.02
  5. Step 5: Solve for x
    x = 1,396,675,727.02/26,731.50
  6. Step 6: Final answer
    x = 52,248.31

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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.