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Finding the Third Proportional to 26,262.38 and 57,627

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Solution

The third proportional to 26,262.38 and 57,627 is: 126,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,262.38 : 57,627 = 57,627 : x
  2. Step 2: Convert to fraction form
    26,262.38/57,627 = 57,627/x
  3. Step 3: Cross multiply
    26,262.38x = 57,627 × 57,627
  4. Step 4: Simplify right side
    26,262.38x = 3,320,871,129
  5. Step 5: Solve for x
    x = 3,320,871,129/26,262.38
  6. Step 6: Final answer
    x = 126,449.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.