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Finding the Third Proportional to 8,111.25 and 17,434.69

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Solution

The third proportional to 8,111.25 and 17,434.69 is: 37,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.25 : 17,434.69 = 17,434.69 : x
  2. Step 2: Convert to fraction form
    8,111.25/17,434.69 = 17,434.69/x
  3. Step 3: Cross multiply
    8,111.25x = 17,434.69 × 17,434.69
  4. Step 4: Simplify right side
    8,111.25x = 303,968,328.22
  5. Step 5: Solve for x
    x = 303,968,328.22/8,111.25
  6. Step 6: Final answer
    x = 37,474.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.