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Finding the Third Proportional to 3,170.87 and 3,488.38

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Solution

The third proportional to 3,170.87 and 3,488.38 is: 3,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.87 : 3,488.38 = 3,488.38 : x
  2. Step 2: Convert to fraction form
    3,170.87/3,488.38 = 3,488.38/x
  3. Step 3: Cross multiply
    3,170.87x = 3,488.38 × 3,488.38
  4. Step 4: Simplify right side
    3,170.87x = 12,168,787.39
  5. Step 5: Solve for x
    x = 12,168,787.39/3,170.87
  6. Step 6: Final answer
    x = 3,837.69

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.