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Finding the Third Proportional to 1,064.81 and 1,616.44

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Solution

The third proportional to 1,064.81 and 1,616.44 is: 2,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.81 : 1,616.44 = 1,616.44 : x
  2. Step 2: Convert to fraction form
    1,064.81/1,616.44 = 1,616.44/x
  3. Step 3: Cross multiply
    1,064.81x = 1,616.44 × 1,616.44
  4. Step 4: Simplify right side
    1,064.81x = 2,612,870.19
  5. Step 5: Solve for x
    x = 2,612,870.19/1,064.81
  6. Step 6: Final answer
    x = 2,453.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.