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Finding the Third Proportional to 5,197.92 and 8,047.48

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Solution

The third proportional to 5,197.92 and 8,047.48 is: 12,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.92 : 8,047.48 = 8,047.48 : x
  2. Step 2: Convert to fraction form
    5,197.92/8,047.48 = 8,047.48/x
  3. Step 3: Cross multiply
    5,197.92x = 8,047.48 × 8,047.48
  4. Step 4: Simplify right side
    5,197.92x = 64,761,879.02
  5. Step 5: Solve for x
    x = 64,761,879.02/5,197.92
  6. Step 6: Final answer
    x = 12,459.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.