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Finding the Third Proportional to 3,162.38 and 5,026.22

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Solution

The third proportional to 3,162.38 and 5,026.22 is: 7,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.38 : 5,026.22 = 5,026.22 : x
  2. Step 2: Convert to fraction form
    3,162.38/5,026.22 = 5,026.22/x
  3. Step 3: Cross multiply
    3,162.38x = 5,026.22 × 5,026.22
  4. Step 4: Simplify right side
    3,162.38x = 25,262,874.92
  5. Step 5: Solve for x
    x = 25,262,874.92/3,162.38
  6. Step 6: Final answer
    x = 7,988.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.