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Finding the Third Proportional to 1,432.69 and 2,206.97

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Solution

The third proportional to 1,432.69 and 2,206.97 is: 3,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.69 : 2,206.97 = 2,206.97 : x
  2. Step 2: Convert to fraction form
    1,432.69/2,206.97 = 2,206.97/x
  3. Step 3: Cross multiply
    1,432.69x = 2,206.97 × 2,206.97
  4. Step 4: Simplify right side
    1,432.69x = 4,870,711.06
  5. Step 5: Solve for x
    x = 4,870,711.06/1,432.69
  6. Step 6: Final answer
    x = 3,399.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.