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Finding the Third Proportional to 6,697.13 and 16,202.81

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Solution

The third proportional to 6,697.13 and 16,202.81 is: 39,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.13 : 16,202.81 = 16,202.81 : x
  2. Step 2: Convert to fraction form
    6,697.13/16,202.81 = 16,202.81/x
  3. Step 3: Cross multiply
    6,697.13x = 16,202.81 × 16,202.81
  4. Step 4: Simplify right side
    6,697.13x = 262,531,132.91
  5. Step 5: Solve for x
    x = 262,531,132.91/6,697.13
  6. Step 6: Final answer
    x = 39,200.57

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.