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Finding the Third Proportional to 9,887.06 and 17,575.73

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Solution

The third proportional to 9,887.06 and 17,575.73 is: 31,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.06 : 17,575.73 = 17,575.73 : x
  2. Step 2: Convert to fraction form
    9,887.06/17,575.73 = 17,575.73/x
  3. Step 3: Cross multiply
    9,887.06x = 17,575.73 × 17,575.73
  4. Step 4: Simplify right side
    9,887.06x = 308,906,438.82
  5. Step 5: Solve for x
    x = 308,906,438.82/9,887.06
  6. Step 6: Final answer
    x = 31,243.50

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Why These Related Problems?

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