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Finding the Third Proportional to 3,915.84 and 6,002.86

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Solution

The third proportional to 3,915.84 and 6,002.86 is: 9,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.84 : 6,002.86 = 6,002.86 : x
  2. Step 2: Convert to fraction form
    3,915.84/6,002.86 = 6,002.86/x
  3. Step 3: Cross multiply
    3,915.84x = 6,002.86 × 6,002.86
  4. Step 4: Simplify right side
    3,915.84x = 36,034,320.68
  5. Step 5: Solve for x
    x = 36,034,320.68/3,915.84
  6. Step 6: Final answer
    x = 9,202.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.