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Finding the Third Proportional to 8,102 and 17,788

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Solution

The third proportional to 8,102 and 17,788 is: 39,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 17,788 = 17,788 : x
  2. Step 2: Convert to fraction form
    8,102/17,788 = 17,788/x
  3. Step 3: Cross multiply
    8,102x = 17,788 × 17,788
  4. Step 4: Simplify right side
    8,102x = 316,412,944
  5. Step 5: Solve for x
    x = 316,412,944/8,102
  6. Step 6: Final answer
    x = 39,053.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.