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Finding the Third Proportional to 3,461.06 and 7,414.24

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Solution

The third proportional to 3,461.06 and 7,414.24 is: 15,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.06 : 7,414.24 = 7,414.24 : x
  2. Step 2: Convert to fraction form
    3,461.06/7,414.24 = 7,414.24/x
  3. Step 3: Cross multiply
    3,461.06x = 7,414.24 × 7,414.24
  4. Step 4: Simplify right side
    3,461.06x = 54,970,987.21
  5. Step 5: Solve for x
    x = 54,970,987.21/3,461.06
  6. Step 6: Final answer
    x = 15,882.69

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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.