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Finding the Third Proportional to 891.06 and 2,146.66

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Solution

The third proportional to 891.06 and 2,146.66 is: 5,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.06 : 2,146.66 = 2,146.66 : x
  2. Step 2: Convert to fraction form
    891.06/2,146.66 = 2,146.66/x
  3. Step 3: Cross multiply
    891.06x = 2,146.66 × 2,146.66
  4. Step 4: Simplify right side
    891.06x = 4,608,133.06
  5. Step 5: Solve for x
    x = 4,608,133.06/891.06
  6. Step 6: Final answer
    x = 5,171.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.