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Finding the Third Proportional to 865.69 and 1,875.66

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Solution

The third proportional to 865.69 and 1,875.66 is: 4,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,875.66 = 1,875.66 : x
  2. Step 2: Convert to fraction form
    865.69/1,875.66 = 1,875.66/x
  3. Step 3: Cross multiply
    865.69x = 1,875.66 × 1,875.66
  4. Step 4: Simplify right side
    865.69x = 3,518,086.37
  5. Step 5: Solve for x
    x = 3,518,086.37/865.69
  6. Step 6: Final answer
    x = 4,063.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.