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Finding the Third Proportional to 5,167.55 and 10,640.74

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Solution

The third proportional to 5,167.55 and 10,640.74 is: 21,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.55 : 10,640.74 = 10,640.74 : x
  2. Step 2: Convert to fraction form
    5,167.55/10,640.74 = 10,640.74/x
  3. Step 3: Cross multiply
    5,167.55x = 10,640.74 × 10,640.74
  4. Step 4: Simplify right side
    5,167.55x = 113,225,394.30
  5. Step 5: Solve for x
    x = 113,225,394.30/5,167.55
  6. Step 6: Final answer
    x = 21,910.86

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.