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Finding the Third Proportional to 6,902.72 and 16,641.70

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Solution

The third proportional to 6,902.72 and 16,641.70 is: 40,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.72 : 16,641.70 = 16,641.70 : x
  2. Step 2: Convert to fraction form
    6,902.72/16,641.70 = 16,641.70/x
  3. Step 3: Cross multiply
    6,902.72x = 16,641.70 × 16,641.70
  4. Step 4: Simplify right side
    6,902.72x = 276,946,282.90
  5. Step 5: Solve for x
    x = 276,946,282.90/6,902.72
  6. Step 6: Final answer
    x = 40,121.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.