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Finding the Third Proportional to 3,117.38 and 4,665.38

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Solution

The third proportional to 3,117.38 and 4,665.38 is: 6,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.38 : 4,665.38 = 4,665.38 : x
  2. Step 2: Convert to fraction form
    3,117.38/4,665.38 = 4,665.38/x
  3. Step 3: Cross multiply
    3,117.38x = 4,665.38 × 4,665.38
  4. Step 4: Simplify right side
    3,117.38x = 21,765,723.89
  5. Step 5: Solve for x
    x = 21,765,723.89/3,117.38
  6. Step 6: Final answer
    x = 6,982.07

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