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Finding the Third Proportional to 37,694 and 79,262

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Solution

The third proportional to 37,694 and 79,262 is: 166,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,694 : 79,262 = 79,262 : x
  2. Step 2: Convert to fraction form
    37,694/79,262 = 79,262/x
  3. Step 3: Cross multiply
    37,694x = 79,262 × 79,262
  4. Step 4: Simplify right side
    37,694x = 6,282,464,644
  5. Step 5: Solve for x
    x = 6,282,464,644/37,694
  6. Step 6: Final answer
    x = 166,670.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.