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Finding the Third Proportional to 7,847.72 and 10,976.34

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Solution

The third proportional to 7,847.72 and 10,976.34 is: 15,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.72 : 10,976.34 = 10,976.34 : x
  2. Step 2: Convert to fraction form
    7,847.72/10,976.34 = 10,976.34/x
  3. Step 3: Cross multiply
    7,847.72x = 10,976.34 × 10,976.34
  4. Step 4: Simplify right side
    7,847.72x = 120,480,122.12
  5. Step 5: Solve for x
    x = 120,480,122.12/7,847.72
  6. Step 6: Final answer
    x = 15,352.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.