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Finding the Third Proportional to 3,914.01 and 6,898.18

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Solution

The third proportional to 3,914.01 and 6,898.18 is: 12,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.01 : 6,898.18 = 6,898.18 : x
  2. Step 2: Convert to fraction form
    3,914.01/6,898.18 = 6,898.18/x
  3. Step 3: Cross multiply
    3,914.01x = 6,898.18 × 6,898.18
  4. Step 4: Simplify right side
    3,914.01x = 47,584,891.42
  5. Step 5: Solve for x
    x = 47,584,891.42/3,914.01
  6. Step 6: Final answer
    x = 12,157.57

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.