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Finding the Third Proportional to 2,498.87 and 5,343.73

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Solution

The third proportional to 2,498.87 and 5,343.73 is: 11,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.87 : 5,343.73 = 5,343.73 : x
  2. Step 2: Convert to fraction form
    2,498.87/5,343.73 = 5,343.73/x
  3. Step 3: Cross multiply
    2,498.87x = 5,343.73 × 5,343.73
  4. Step 4: Simplify right side
    2,498.87x = 28,555,476.20
  5. Step 5: Solve for x
    x = 28,555,476.20/2,498.87
  6. Step 6: Final answer
    x = 11,427.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.