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Finding the Third Proportional to 865.88 and 2,025.75

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Solution

The third proportional to 865.88 and 2,025.75 is: 4,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.88 : 2,025.75 = 2,025.75 : x
  2. Step 2: Convert to fraction form
    865.88/2,025.75 = 2,025.75/x
  3. Step 3: Cross multiply
    865.88x = 2,025.75 × 2,025.75
  4. Step 4: Simplify right side
    865.88x = 4,103,663.06
  5. Step 5: Solve for x
    x = 4,103,663.06/865.88
  6. Step 6: Final answer
    x = 4,739.33

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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.