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Finding the Third Proportional to 8,257.50 and 17,217

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Solution

The third proportional to 8,257.50 and 17,217 is: 35,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.50 : 17,217 = 17,217 : x
  2. Step 2: Convert to fraction form
    8,257.50/17,217 = 17,217/x
  3. Step 3: Cross multiply
    8,257.50x = 17,217 × 17,217
  4. Step 4: Simplify right side
    8,257.50x = 296,425,089
  5. Step 5: Solve for x
    x = 296,425,089/8,257.50
  6. Step 6: Final answer
    x = 35,897.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.