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Finding the Third Proportional to 20,418.75 and 26,254.13

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Solution

The third proportional to 20,418.75 and 26,254.13 is: 33,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,418.75 : 26,254.13 = 26,254.13 : x
  2. Step 2: Convert to fraction form
    20,418.75/26,254.13 = 26,254.13/x
  3. Step 3: Cross multiply
    20,418.75x = 26,254.13 × 26,254.13
  4. Step 4: Simplify right side
    20,418.75x = 689,279,079.52
  5. Step 5: Solve for x
    x = 689,279,079.52/20,418.75
  6. Step 6: Final answer
    x = 33,757.16

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.