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Finding the Third Proportional to 37,009 and 79,926

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Solution

The third proportional to 37,009 and 79,926 is: 172,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009 : 79,926 = 79,926 : x
  2. Step 2: Convert to fraction form
    37,009/79,926 = 79,926/x
  3. Step 3: Cross multiply
    37,009x = 79,926 × 79,926
  4. Step 4: Simplify right side
    37,009x = 6,388,165,476
  5. Step 5: Solve for x
    x = 6,388,165,476/37,009
  6. Step 6: Final answer
    x = 172,611.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.