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Finding the Third Proportional to 1,661.13 and 3,618.42

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Solution

The third proportional to 1,661.13 and 3,618.42 is: 7,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.13 : 3,618.42 = 3,618.42 : x
  2. Step 2: Convert to fraction form
    1,661.13/3,618.42 = 3,618.42/x
  3. Step 3: Cross multiply
    1,661.13x = 3,618.42 × 3,618.42
  4. Step 4: Simplify right side
    1,661.13x = 13,092,976.87
  5. Step 5: Solve for x
    x = 13,092,976.87/1,661.13
  6. Step 6: Final answer
    x = 7,881.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.