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Finding the Third Proportional to 2,238.75 and 3,711.38

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Solution

The third proportional to 2,238.75 and 3,711.38 is: 6,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.75 : 3,711.38 = 3,711.38 : x
  2. Step 2: Convert to fraction form
    2,238.75/3,711.38 = 3,711.38/x
  3. Step 3: Cross multiply
    2,238.75x = 3,711.38 × 3,711.38
  4. Step 4: Simplify right side
    2,238.75x = 13,774,304.39
  5. Step 5: Solve for x
    x = 13,774,304.39/2,238.75
  6. Step 6: Final answer
    x = 6,152.68

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.