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Finding the Third Proportional to 3,167.44 and 3,663.14

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Solution

The third proportional to 3,167.44 and 3,663.14 is: 4,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.44 : 3,663.14 = 3,663.14 : x
  2. Step 2: Convert to fraction form
    3,167.44/3,663.14 = 3,663.14/x
  3. Step 3: Cross multiply
    3,167.44x = 3,663.14 × 3,663.14
  4. Step 4: Simplify right side
    3,167.44x = 13,418,599.24
  5. Step 5: Solve for x
    x = 13,418,599.24/3,167.44
  6. Step 6: Final answer
    x = 4,236.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.