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Finding the Third Proportional to 26,746.13 and 37,391.25

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Solution

The third proportional to 26,746.13 and 37,391.25 is: 52,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,746.13 : 37,391.25 = 37,391.25 : x
  2. Step 2: Convert to fraction form
    26,746.13/37,391.25 = 37,391.25/x
  3. Step 3: Cross multiply
    26,746.13x = 37,391.25 × 37,391.25
  4. Step 4: Simplify right side
    26,746.13x = 1,398,105,576.56
  5. Step 5: Solve for x
    x = 1,398,105,576.56/26,746.13
  6. Step 6: Final answer
    x = 52,273.20

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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.