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Finding the Third Proportional to 2,197.13 and 3,964.57

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Solution

The third proportional to 2,197.13 and 3,964.57 is: 7,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.13 : 3,964.57 = 3,964.57 : x
  2. Step 2: Convert to fraction form
    2,197.13/3,964.57 = 3,964.57/x
  3. Step 3: Cross multiply
    2,197.13x = 3,964.57 × 3,964.57
  4. Step 4: Simplify right side
    2,197.13x = 15,717,817.76
  5. Step 5: Solve for x
    x = 15,717,817.76/2,197.13
  6. Step 6: Final answer
    x = 7,153.81

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.