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Finding the Third Proportional to 675.14 and 1,462.22

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Solution

The third proportional to 675.14 and 1,462.22 is: 3,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.14 : 1,462.22 = 1,462.22 : x
  2. Step 2: Convert to fraction form
    675.14/1,462.22 = 1,462.22/x
  3. Step 3: Cross multiply
    675.14x = 1,462.22 × 1,462.22
  4. Step 4: Simplify right side
    675.14x = 2,138,083.67
  5. Step 5: Solve for x
    x = 2,138,083.67/675.14
  6. Step 6: Final answer
    x = 3,166.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.