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Finding the Third Proportional to 869.44 and 1,616.44

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Solution

The third proportional to 869.44 and 1,616.44 is: 3,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.44 : 1,616.44 = 1,616.44 : x
  2. Step 2: Convert to fraction form
    869.44/1,616.44 = 1,616.44/x
  3. Step 3: Cross multiply
    869.44x = 1,616.44 × 1,616.44
  4. Step 4: Simplify right side
    869.44x = 2,612,870.19
  5. Step 5: Solve for x
    x = 2,612,870.19/869.44
  6. Step 6: Final answer
    x = 3,005.24

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.