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Finding the Third Proportional to 1,661.06 and 3,640.69

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Solution

The third proportional to 1,661.06 and 3,640.69 is: 7,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.06 : 3,640.69 = 3,640.69 : x
  2. Step 2: Convert to fraction form
    1,661.06/3,640.69 = 3,640.69/x
  3. Step 3: Cross multiply
    1,661.06x = 3,640.69 × 3,640.69
  4. Step 4: Simplify right side
    1,661.06x = 13,254,605.47
  5. Step 5: Solve for x
    x = 13,254,605.47/1,661.06
  6. Step 6: Final answer
    x = 7,979.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.