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Finding the Third Proportional to 26,919.96 and 57,376.71

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Solution

The third proportional to 26,919.96 and 57,376.71 is: 122,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,919.96 : 57,376.71 = 57,376.71 : x
  2. Step 2: Convert to fraction form
    26,919.96/57,376.71 = 57,376.71/x
  3. Step 3: Cross multiply
    26,919.96x = 57,376.71 × 57,376.71
  4. Step 4: Simplify right side
    26,919.96x = 3,292,087,294.20
  5. Step 5: Solve for x
    x = 3,292,087,294.20/26,919.96
  6. Step 6: Final answer
    x = 122,291.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.