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Finding the Third Proportional to 5,676 and 12,400.50

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Solution

The third proportional to 5,676 and 12,400.50 is: 27,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 12,400.50 = 12,400.50 : x
  2. Step 2: Convert to fraction form
    5,676/12,400.50 = 12,400.50/x
  3. Step 3: Cross multiply
    5,676x = 12,400.50 × 12,400.50
  4. Step 4: Simplify right side
    5,676x = 153,772,400.25
  5. Step 5: Solve for x
    x = 153,772,400.25/5,676
  6. Step 6: Final answer
    x = 27,091.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.