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Finding the Third Proportional to 2,474.61 and 5,153.31

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Solution

The third proportional to 2,474.61 and 5,153.31 is: 10,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.61 : 5,153.31 = 5,153.31 : x
  2. Step 2: Convert to fraction form
    2,474.61/5,153.31 = 5,153.31/x
  3. Step 3: Cross multiply
    2,474.61x = 5,153.31 × 5,153.31
  4. Step 4: Simplify right side
    2,474.61x = 26,556,589.46
  5. Step 5: Solve for x
    x = 26,556,589.46/2,474.61
  6. Step 6: Final answer
    x = 10,731.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.