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Finding the Third Proportional to 9,879.47 and 17,566.03

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Solution

The third proportional to 9,879.47 and 17,566.03 is: 31,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.47 : 17,566.03 = 17,566.03 : x
  2. Step 2: Convert to fraction form
    9,879.47/17,566.03 = 17,566.03/x
  3. Step 3: Cross multiply
    9,879.47x = 17,566.03 × 17,566.03
  4. Step 4: Simplify right side
    9,879.47x = 308,565,453.88
  5. Step 5: Solve for x
    x = 308,565,453.88/9,879.47
  6. Step 6: Final answer
    x = 31,233.00

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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.