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Finding the Third Proportional to 1,616.44 and 2,471.69

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Solution

The third proportional to 1,616.44 and 2,471.69 is: 3,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.44 : 2,471.69 = 2,471.69 : x
  2. Step 2: Convert to fraction form
    1,616.44/2,471.69 = 2,471.69/x
  3. Step 3: Cross multiply
    1,616.44x = 2,471.69 × 2,471.69
  4. Step 4: Simplify right side
    1,616.44x = 6,109,239.10
  5. Step 5: Solve for x
    x = 6,109,239.10/1,616.44
  6. Step 6: Final answer
    x = 3,779.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.