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Finding the Third Proportional to 3,257.72 and 4,902.19

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Solution

The third proportional to 3,257.72 and 4,902.19 is: 7,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.72 : 4,902.19 = 4,902.19 : x
  2. Step 2: Convert to fraction form
    3,257.72/4,902.19 = 4,902.19/x
  3. Step 3: Cross multiply
    3,257.72x = 4,902.19 × 4,902.19
  4. Step 4: Simplify right side
    3,257.72x = 24,031,442.29
  5. Step 5: Solve for x
    x = 24,031,442.29/3,257.72
  6. Step 6: Final answer
    x = 7,376.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.