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Finding the Third Proportional to 9,881.44 and 17,569.69

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Solution

The third proportional to 9,881.44 and 17,569.69 is: 31,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.44 : 17,569.69 = 17,569.69 : x
  2. Step 2: Convert to fraction form
    9,881.44/17,569.69 = 17,569.69/x
  3. Step 3: Cross multiply
    9,881.44x = 17,569.69 × 17,569.69
  4. Step 4: Simplify right side
    9,881.44x = 308,693,918.85
  5. Step 5: Solve for x
    x = 308,693,918.85/9,881.44
  6. Step 6: Final answer
    x = 31,239.78

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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.