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Finding the Third Proportional to 26,426.25 and 57,682.13

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Solution

The third proportional to 26,426.25 and 57,682.13 is: 125,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,426.25 : 57,682.13 = 57,682.13 : x
  2. Step 2: Convert to fraction form
    26,426.25/57,682.13 = 57,682.13/x
  3. Step 3: Cross multiply
    26,426.25x = 57,682.13 × 57,682.13
  4. Step 4: Simplify right side
    26,426.25x = 3,327,227,544.52
  5. Step 5: Solve for x
    x = 3,327,227,544.52/26,426.25
  6. Step 6: Final answer
    x = 125,906.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.