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Finding the Third Proportional to 37,864 and 79,651

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Solution

The third proportional to 37,864 and 79,651 is: 167,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,864 : 79,651 = 79,651 : x
  2. Step 2: Convert to fraction form
    37,864/79,651 = 79,651/x
  3. Step 3: Cross multiply
    37,864x = 79,651 × 79,651
  4. Step 4: Simplify right side
    37,864x = 6,344,281,801
  5. Step 5: Solve for x
    x = 6,344,281,801/37,864
  6. Step 6: Final answer
    x = 167,554.45

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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.