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Finding the Third Proportional to 7,115.06 and 10,695.56

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Solution

The third proportional to 7,115.06 and 10,695.56 is: 16,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.06 : 10,695.56 = 10,695.56 : x
  2. Step 2: Convert to fraction form
    7,115.06/10,695.56 = 10,695.56/x
  3. Step 3: Cross multiply
    7,115.06x = 10,695.56 × 10,695.56
  4. Step 4: Simplify right side
    7,115.06x = 114,395,057.19
  5. Step 5: Solve for x
    x = 114,395,057.19/7,115.06
  6. Step 6: Final answer
    x = 16,077.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.