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Finding the Third Proportional to 5,190.96 and 6,898.92

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Solution

The third proportional to 5,190.96 and 6,898.92 is: 9,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.96 : 6,898.92 = 6,898.92 : x
  2. Step 2: Convert to fraction form
    5,190.96/6,898.92 = 6,898.92/x
  3. Step 3: Cross multiply
    5,190.96x = 6,898.92 × 6,898.92
  4. Step 4: Simplify right side
    5,190.96x = 47,595,123.04
  5. Step 5: Solve for x
    x = 47,595,123.04/5,190.96
  6. Step 6: Final answer
    x = 9,168.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.