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Finding the Third Proportional to 3,461.48 and 5,191.17

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Solution

The third proportional to 3,461.48 and 5,191.17 is: 7,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.48 : 5,191.17 = 5,191.17 : x
  2. Step 2: Convert to fraction form
    3,461.48/5,191.17 = 5,191.17/x
  3. Step 3: Cross multiply
    3,461.48x = 5,191.17 × 5,191.17
  4. Step 4: Simplify right side
    3,461.48x = 26,948,265.44
  5. Step 5: Solve for x
    x = 26,948,265.44/3,461.48
  6. Step 6: Final answer
    x = 7,785.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.