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Finding the Third Proportional to 2,475.38 and 3,639.38

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Solution

The third proportional to 2,475.38 and 3,639.38 is: 5,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.38 : 3,639.38 = 3,639.38 : x
  2. Step 2: Convert to fraction form
    2,475.38/3,639.38 = 3,639.38/x
  3. Step 3: Cross multiply
    2,475.38x = 3,639.38 × 3,639.38
  4. Step 4: Simplify right side
    2,475.38x = 13,245,050.39
  5. Step 5: Solve for x
    x = 13,245,050.39/2,475.38
  6. Step 6: Final answer
    x = 5,350.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.