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Finding the Third Proportional to 3,737.53 and 5,078.11

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Solution

The third proportional to 3,737.53 and 5,078.11 is: 6,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.53 : 5,078.11 = 5,078.11 : x
  2. Step 2: Convert to fraction form
    3,737.53/5,078.11 = 5,078.11/x
  3. Step 3: Cross multiply
    3,737.53x = 5,078.11 × 5,078.11
  4. Step 4: Simplify right side
    3,737.53x = 25,787,194.82
  5. Step 5: Solve for x
    x = 25,787,194.82/3,737.53
  6. Step 6: Final answer
    x = 6,899.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.