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Finding the Third Proportional to 11,258.31 and 24,498.56

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Solution

The third proportional to 11,258.31 and 24,498.56 is: 53,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.31 : 24,498.56 = 24,498.56 : x
  2. Step 2: Convert to fraction form
    11,258.31/24,498.56 = 24,498.56/x
  3. Step 3: Cross multiply
    11,258.31x = 24,498.56 × 24,498.56
  4. Step 4: Simplify right side
    11,258.31x = 600,179,564.57
  5. Step 5: Solve for x
    x = 600,179,564.57/11,258.31
  6. Step 6: Final answer
    x = 53,309.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.