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Finding the Third Proportional to 986.34 and 2,167.17

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Solution

The third proportional to 986.34 and 2,167.17 is: 4,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.34 : 2,167.17 = 2,167.17 : x
  2. Step 2: Convert to fraction form
    986.34/2,167.17 = 2,167.17/x
  3. Step 3: Cross multiply
    986.34x = 2,167.17 × 2,167.17
  4. Step 4: Simplify right side
    986.34x = 4,696,633.94
  5. Step 5: Solve for x
    x = 4,696,633.94/986.34
  6. Step 6: Final answer
    x = 4,761.66

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Why These Related Problems?

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