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Finding the Third Proportional to 3,697.13 and 8,214.75

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Solution

The third proportional to 3,697.13 and 8,214.75 is: 18,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.13 : 8,214.75 = 8,214.75 : x
  2. Step 2: Convert to fraction form
    3,697.13/8,214.75 = 8,214.75/x
  3. Step 3: Cross multiply
    3,697.13x = 8,214.75 × 8,214.75
  4. Step 4: Simplify right side
    3,697.13x = 67,482,117.56
  5. Step 5: Solve for x
    x = 67,482,117.56/3,697.13
  6. Step 6: Final answer
    x = 18,252.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.