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Finding the Third Proportional to 26,023.78 and 55,741.92

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Solution

The third proportional to 26,023.78 and 55,741.92 is: 119,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,023.78 : 55,741.92 = 55,741.92 : x
  2. Step 2: Convert to fraction form
    26,023.78/55,741.92 = 55,741.92/x
  3. Step 3: Cross multiply
    26,023.78x = 55,741.92 × 55,741.92
  4. Step 4: Simplify right side
    26,023.78x = 3,107,161,854.32
  5. Step 5: Solve for x
    x = 3,107,161,854.32/26,023.78
  6. Step 6: Final answer
    x = 119,397.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.