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Finding the Third Proportional to 8,531.16 and 17,472.38

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Solution

The third proportional to 8,531.16 and 17,472.38 is: 35,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.16 : 17,472.38 = 17,472.38 : x
  2. Step 2: Convert to fraction form
    8,531.16/17,472.38 = 17,472.38/x
  3. Step 3: Cross multiply
    8,531.16x = 17,472.38 × 17,472.38
  4. Step 4: Simplify right side
    8,531.16x = 305,283,888.14
  5. Step 5: Solve for x
    x = 305,283,888.14/8,531.16
  6. Step 6: Final answer
    x = 35,784.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.