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Finding the Third Proportional to 2,063.81 and 3,197.39

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Solution

The third proportional to 2,063.81 and 3,197.39 is: 4,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.81 : 3,197.39 = 3,197.39 : x
  2. Step 2: Convert to fraction form
    2,063.81/3,197.39 = 3,197.39/x
  3. Step 3: Cross multiply
    2,063.81x = 3,197.39 × 3,197.39
  4. Step 4: Simplify right side
    2,063.81x = 10,223,306.81
  5. Step 5: Solve for x
    x = 10,223,306.81/2,063.81
  6. Step 6: Final answer
    x = 4,953.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.