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Finding the Third Proportional to 3,074.52 and 4,337.46

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Solution

The third proportional to 3,074.52 and 4,337.46 is: 6,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.52 : 4,337.46 = 4,337.46 : x
  2. Step 2: Convert to fraction form
    3,074.52/4,337.46 = 4,337.46/x
  3. Step 3: Cross multiply
    3,074.52x = 4,337.46 × 4,337.46
  4. Step 4: Simplify right side
    3,074.52x = 18,813,516.55
  5. Step 5: Solve for x
    x = 18,813,516.55/3,074.52
  6. Step 6: Final answer
    x = 6,119.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.