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Finding the Third Proportional to 7,700.06 and 11,481.75

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Solution

The third proportional to 7,700.06 and 11,481.75 is: 17,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.06 : 11,481.75 = 11,481.75 : x
  2. Step 2: Convert to fraction form
    7,700.06/11,481.75 = 11,481.75/x
  3. Step 3: Cross multiply
    7,700.06x = 11,481.75 × 11,481.75
  4. Step 4: Simplify right side
    7,700.06x = 131,830,583.06
  5. Step 5: Solve for x
    x = 131,830,583.06/7,700.06
  6. Step 6: Final answer
    x = 17,120.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.