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Finding the Third Proportional to 3,426.75 and 4,951.69

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Solution

The third proportional to 3,426.75 and 4,951.69 is: 7,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.75 : 4,951.69 = 4,951.69 : x
  2. Step 2: Convert to fraction form
    3,426.75/4,951.69 = 4,951.69/x
  3. Step 3: Cross multiply
    3,426.75x = 4,951.69 × 4,951.69
  4. Step 4: Simplify right side
    3,426.75x = 24,519,209.10
  5. Step 5: Solve for x
    x = 24,519,209.10/3,426.75
  6. Step 6: Final answer
    x = 7,155.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.