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Finding the Third Proportional to 1,200.38 and 2,886.19

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Solution

The third proportional to 1,200.38 and 2,886.19 is: 6,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.38 : 2,886.19 = 2,886.19 : x
  2. Step 2: Convert to fraction form
    1,200.38/2,886.19 = 2,886.19/x
  3. Step 3: Cross multiply
    1,200.38x = 2,886.19 × 2,886.19
  4. Step 4: Simplify right side
    1,200.38x = 8,330,078.29
  5. Step 5: Solve for x
    x = 8,330,078.29/1,200.38
  6. Step 6: Final answer
    x = 6,939.56

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.