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Finding the Third Proportional to 2,982.13 and 4,370.38

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Solution

The third proportional to 2,982.13 and 4,370.38 is: 6,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.13 : 4,370.38 = 4,370.38 : x
  2. Step 2: Convert to fraction form
    2,982.13/4,370.38 = 4,370.38/x
  3. Step 3: Cross multiply
    2,982.13x = 4,370.38 × 4,370.38
  4. Step 4: Simplify right side
    2,982.13x = 19,100,177.64
  5. Step 5: Solve for x
    x = 19,100,177.64/2,982.13
  6. Step 6: Final answer
    x = 6,404.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.