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Finding the Third Proportional to 10,824 and 17,217

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Solution

The third proportional to 10,824 and 17,217 is: 27,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824 : 17,217 = 17,217 : x
  2. Step 2: Convert to fraction form
    10,824/17,217 = 17,217/x
  3. Step 3: Cross multiply
    10,824x = 17,217 × 17,217
  4. Step 4: Simplify right side
    10,824x = 296,425,089
  5. Step 5: Solve for x
    x = 296,425,089/10,824
  6. Step 6: Final answer
    x = 27,385.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.