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Finding the Third Proportional to 11,948.77 and 26,255.39

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Solution

The third proportional to 11,948.77 and 26,255.39 is: 57,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.77 : 26,255.39 = 26,255.39 : x
  2. Step 2: Convert to fraction form
    11,948.77/26,255.39 = 26,255.39/x
  3. Step 3: Cross multiply
    11,948.77x = 26,255.39 × 26,255.39
  4. Step 4: Simplify right side
    11,948.77x = 689,345,536.87
  5. Step 5: Solve for x
    x = 689,345,536.87/11,948.77
  6. Step 6: Final answer
    x = 57,691.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.