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Finding the Third Proportional to 8,187.75 and 17,447.91

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Solution

The third proportional to 8,187.75 and 17,447.91 is: 37,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.75 : 17,447.91 = 17,447.91 : x
  2. Step 2: Convert to fraction form
    8,187.75/17,447.91 = 17,447.91/x
  3. Step 3: Cross multiply
    8,187.75x = 17,447.91 × 17,447.91
  4. Step 4: Simplify right side
    8,187.75x = 304,429,432.51
  5. Step 5: Solve for x
    x = 304,429,432.51/8,187.75
  6. Step 6: Final answer
    x = 37,181.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.