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Finding the Third Proportional to 11,257.31 and 24,148.69

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Solution

The third proportional to 11,257.31 and 24,148.69 is: 51,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.31 : 24,148.69 = 24,148.69 : x
  2. Step 2: Convert to fraction form
    11,257.31/24,148.69 = 24,148.69/x
  3. Step 3: Cross multiply
    11,257.31x = 24,148.69 × 24,148.69
  4. Step 4: Simplify right side
    11,257.31x = 583,159,107.97
  5. Step 5: Solve for x
    x = 583,159,107.97/11,257.31
  6. Step 6: Final answer
    x = 51,802.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.