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Finding the Third Proportional to 1,182.94 and 2,812.97

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Solution

The third proportional to 1,182.94 and 2,812.97 is: 6,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.94 : 2,812.97 = 2,812.97 : x
  2. Step 2: Convert to fraction form
    1,182.94/2,812.97 = 2,812.97/x
  3. Step 3: Cross multiply
    1,182.94x = 2,812.97 × 2,812.97
  4. Step 4: Simplify right side
    1,182.94x = 7,912,793.19
  5. Step 5: Solve for x
    x = 7,912,793.19/1,182.94
  6. Step 6: Final answer
    x = 6,689.11

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.