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Finding the Third Proportional to 955.69 and 1,641.09

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Solution

The third proportional to 955.69 and 1,641.09 is: 2,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.69 : 1,641.09 = 1,641.09 : x
  2. Step 2: Convert to fraction form
    955.69/1,641.09 = 1,641.09/x
  3. Step 3: Cross multiply
    955.69x = 1,641.09 × 1,641.09
  4. Step 4: Simplify right side
    955.69x = 2,693,188.70
  5. Step 5: Solve for x
    x = 2,693,188.70/955.69
  6. Step 6: Final answer
    x = 2,818.06

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.