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Finding the Third Proportional to 1,206.38 and 1,866.75

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Solution

The third proportional to 1,206.38 and 1,866.75 is: 2,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.38 : 1,866.75 = 1,866.75 : x
  2. Step 2: Convert to fraction form
    1,206.38/1,866.75 = 1,866.75/x
  3. Step 3: Cross multiply
    1,206.38x = 1,866.75 × 1,866.75
  4. Step 4: Simplify right side
    1,206.38x = 3,484,755.56
  5. Step 5: Solve for x
    x = 3,484,755.56/1,206.38
  6. Step 6: Final answer
    x = 2,888.62

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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.