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Finding the Third Proportional to 1,324.65 and 2,854.34

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Solution

The third proportional to 1,324.65 and 2,854.34 is: 6,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.65 : 2,854.34 = 2,854.34 : x
  2. Step 2: Convert to fraction form
    1,324.65/2,854.34 = 2,854.34/x
  3. Step 3: Cross multiply
    1,324.65x = 2,854.34 × 2,854.34
  4. Step 4: Simplify right side
    1,324.65x = 8,147,233.64
  5. Step 5: Solve for x
    x = 8,147,233.64/1,324.65
  6. Step 6: Final answer
    x = 6,150.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.