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Finding the Third Proportional to 2,425.71 and 5,215.92

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Solution

The third proportional to 2,425.71 and 5,215.92 is: 11,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.71 : 5,215.92 = 5,215.92 : x
  2. Step 2: Convert to fraction form
    2,425.71/5,215.92 = 5,215.92/x
  3. Step 3: Cross multiply
    2,425.71x = 5,215.92 × 5,215.92
  4. Step 4: Simplify right side
    2,425.71x = 27,205,841.01
  5. Step 5: Solve for x
    x = 27,205,841.01/2,425.71
  6. Step 6: Final answer
    x = 11,215.62

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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.