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Finding the Third Proportional to 964.69 and 2,017.13

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Solution

The third proportional to 964.69 and 2,017.13 is: 4,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.69 : 2,017.13 = 2,017.13 : x
  2. Step 2: Convert to fraction form
    964.69/2,017.13 = 2,017.13/x
  3. Step 3: Cross multiply
    964.69x = 2,017.13 × 2,017.13
  4. Step 4: Simplify right side
    964.69x = 4,068,793.27
  5. Step 5: Solve for x
    x = 4,068,793.27/964.69
  6. Step 6: Final answer
    x = 4,217.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.