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Finding the Third Proportional to 3,152.25 and 6,793.88

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Solution

The third proportional to 3,152.25 and 6,793.88 is: 14,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.25 : 6,793.88 = 6,793.88 : x
  2. Step 2: Convert to fraction form
    3,152.25/6,793.88 = 6,793.88/x
  3. Step 3: Cross multiply
    3,152.25x = 6,793.88 × 6,793.88
  4. Step 4: Simplify right side
    3,152.25x = 46,156,737.52
  5. Step 5: Solve for x
    x = 46,156,737.52/3,152.25
  6. Step 6: Final answer
    x = 14,642.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.