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Finding the Third Proportional to 5,640.26 and 8,774.58

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Solution

The third proportional to 5,640.26 and 8,774.58 is: 13,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.26 : 8,774.58 = 8,774.58 : x
  2. Step 2: Convert to fraction form
    5,640.26/8,774.58 = 8,774.58/x
  3. Step 3: Cross multiply
    5,640.26x = 8,774.58 × 8,774.58
  4. Step 4: Simplify right side
    5,640.26x = 76,993,221.27
  5. Step 5: Solve for x
    x = 76,993,221.27/5,640.26
  6. Step 6: Final answer
    x = 13,650.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.