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Finding the Third Proportional to 1,100.06 and 1,531.31

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Solution

The third proportional to 1,100.06 and 1,531.31 is: 2,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.06 : 1,531.31 = 1,531.31 : x
  2. Step 2: Convert to fraction form
    1,100.06/1,531.31 = 1,531.31/x
  3. Step 3: Cross multiply
    1,100.06x = 1,531.31 × 1,531.31
  4. Step 4: Simplify right side
    1,100.06x = 2,344,917.97
  5. Step 5: Solve for x
    x = 2,344,917.97/1,100.06
  6. Step 6: Final answer
    x = 2,131.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.