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Finding the Third Proportional to 37,511 and 79,797

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Solution

The third proportional to 37,511 and 79,797 is: 169,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,511 : 79,797 = 79,797 : x
  2. Step 2: Convert to fraction form
    37,511/79,797 = 79,797/x
  3. Step 3: Cross multiply
    37,511x = 79,797 × 79,797
  4. Step 4: Simplify right side
    37,511x = 6,367,561,209
  5. Step 5: Solve for x
    x = 6,367,561,209/37,511
  6. Step 6: Final answer
    x = 169,751.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.