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Finding the Third Proportional to 865.69 and 2,024.68

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Solution

The third proportional to 865.69 and 2,024.68 is: 4,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 2,024.68 = 2,024.68 : x
  2. Step 2: Convert to fraction form
    865.69/2,024.68 = 2,024.68/x
  3. Step 3: Cross multiply
    865.69x = 2,024.68 × 2,024.68
  4. Step 4: Simplify right side
    865.69x = 4,099,343.65
  5. Step 5: Solve for x
    x = 4,099,343.65/865.69
  6. Step 6: Final answer
    x = 4,735.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.