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Finding the Third Proportional to 3,211.31 and 4,701.38

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Solution

The third proportional to 3,211.31 and 4,701.38 is: 6,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.31 : 4,701.38 = 4,701.38 : x
  2. Step 2: Convert to fraction form
    3,211.31/4,701.38 = 4,701.38/x
  3. Step 3: Cross multiply
    3,211.31x = 4,701.38 × 4,701.38
  4. Step 4: Simplify right side
    3,211.31x = 22,102,926.89
  5. Step 5: Solve for x
    x = 22,102,926.89/3,211.31
  6. Step 6: Final answer
    x = 6,882.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.