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Finding the Third Proportional to 38,967 and 82,788

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Solution

The third proportional to 38,967 and 82,788 is: 175,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967 : 82,788 = 82,788 : x
  2. Step 2: Convert to fraction form
    38,967/82,788 = 82,788/x
  3. Step 3: Cross multiply
    38,967x = 82,788 × 82,788
  4. Step 4: Simplify right side
    38,967x = 6,853,852,944
  5. Step 5: Solve for x
    x = 6,853,852,944/38,967
  6. Step 6: Final answer
    x = 175,888.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.