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Finding the Third Proportional to 24,067.13 and 52,948.69

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Solution

The third proportional to 24,067.13 and 52,948.69 is: 116,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.13 : 52,948.69 = 52,948.69 : x
  2. Step 2: Convert to fraction form
    24,067.13/52,948.69 = 52,948.69/x
  3. Step 3: Cross multiply
    24,067.13x = 52,948.69 × 52,948.69
  4. Step 4: Simplify right side
    24,067.13x = 2,803,563,507.97
  5. Step 5: Solve for x
    x = 2,803,563,507.97/24,067.13
  6. Step 6: Final answer
    x = 116,489.34

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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.