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Finding the Third Proportional to 860.34 and 1,891.97

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Solution

The third proportional to 860.34 and 1,891.97 is: 4,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.34 : 1,891.97 = 1,891.97 : x
  2. Step 2: Convert to fraction form
    860.34/1,891.97 = 1,891.97/x
  3. Step 3: Cross multiply
    860.34x = 1,891.97 × 1,891.97
  4. Step 4: Simplify right side
    860.34x = 3,579,545.75
  5. Step 5: Solve for x
    x = 3,579,545.75/860.34
  6. Step 6: Final answer
    x = 4,160.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.