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Finding the Third Proportional to 12,301.88 and 26,141.48

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Solution

The third proportional to 12,301.88 and 26,141.48 is: 55,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 26,141.48 = 26,141.48 : x
  2. Step 2: Convert to fraction form
    12,301.88/26,141.48 = 26,141.48/x
  3. Step 3: Cross multiply
    12,301.88x = 26,141.48 × 26,141.48
  4. Step 4: Simplify right side
    12,301.88x = 683,377,205.33
  5. Step 5: Solve for x
    x = 683,377,205.33/12,301.88
  6. Step 6: Final answer
    x = 55,550.65

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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.