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Finding the Third Proportional to 865.13 and 2,031.05

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Solution

The third proportional to 865.13 and 2,031.05 is: 4,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.13 : 2,031.05 = 2,031.05 : x
  2. Step 2: Convert to fraction form
    865.13/2,031.05 = 2,031.05/x
  3. Step 3: Cross multiply
    865.13x = 2,031.05 × 2,031.05
  4. Step 4: Simplify right side
    865.13x = 4,125,151.41
  5. Step 5: Solve for x
    x = 4,125,151.41/865.13
  6. Step 6: Final answer
    x = 4,768.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.