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Finding the Third Proportional to 982.69 and 1,452.09

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Solution

The third proportional to 982.69 and 1,452.09 is: 2,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.69 : 1,452.09 = 1,452.09 : x
  2. Step 2: Convert to fraction form
    982.69/1,452.09 = 1,452.09/x
  3. Step 3: Cross multiply
    982.69x = 1,452.09 × 1,452.09
  4. Step 4: Simplify right side
    982.69x = 2,108,576.26
  5. Step 5: Solve for x
    x = 2,108,576.26/982.69
  6. Step 6: Final answer
    x = 2,145.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.