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Finding the Third Proportional to 865.69 and 1,361.81

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Solution

The third proportional to 865.69 and 1,361.81 is: 2,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,361.81 = 1,361.81 : x
  2. Step 2: Convert to fraction form
    865.69/1,361.81 = 1,361.81/x
  3. Step 3: Cross multiply
    865.69x = 1,361.81 × 1,361.81
  4. Step 4: Simplify right side
    865.69x = 1,854,533.29
  5. Step 5: Solve for x
    x = 1,854,533.29/865.69
  6. Step 6: Final answer
    x = 2,142.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.