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Finding the Third Proportional to 8,102 and 18,788

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Solution

The third proportional to 8,102 and 18,788 is: 43,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 18,788 = 18,788 : x
  2. Step 2: Convert to fraction form
    8,102/18,788 = 18,788/x
  3. Step 3: Cross multiply
    8,102x = 18,788 × 18,788
  4. Step 4: Simplify right side
    8,102x = 352,988,944
  5. Step 5: Solve for x
    x = 352,988,944/8,102
  6. Step 6: Final answer
    x = 43,568.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.