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Finding the Third Proportional to 2,329.13 and 3,738.75

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Solution

The third proportional to 2,329.13 and 3,738.75 is: 6,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.13 : 3,738.75 = 3,738.75 : x
  2. Step 2: Convert to fraction form
    2,329.13/3,738.75 = 3,738.75/x
  3. Step 3: Cross multiply
    2,329.13x = 3,738.75 × 3,738.75
  4. Step 4: Simplify right side
    2,329.13x = 13,978,251.56
  5. Step 5: Solve for x
    x = 13,978,251.56/2,329.13
  6. Step 6: Final answer
    x = 6,001.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.