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Finding the Third Proportional to 9,879.75 and 17,566.88

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Solution

The third proportional to 9,879.75 and 17,566.88 is: 31,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.75 : 17,566.88 = 17,566.88 : x
  2. Step 2: Convert to fraction form
    9,879.75/17,566.88 = 17,566.88/x
  3. Step 3: Cross multiply
    9,879.75x = 17,566.88 × 17,566.88
  4. Step 4: Simplify right side
    9,879.75x = 308,595,097.27
  5. Step 5: Solve for x
    x = 308,595,097.27/9,879.75
  6. Step 6: Final answer
    x = 31,235.11

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.