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Finding the Third Proportional to 37,926 and 83,244

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Solution

The third proportional to 37,926 and 83,244 is: 182,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,926 : 83,244 = 83,244 : x
  2. Step 2: Convert to fraction form
    37,926/83,244 = 83,244/x
  3. Step 3: Cross multiply
    37,926x = 83,244 × 83,244
  4. Step 4: Simplify right side
    37,926x = 6,929,563,536
  5. Step 5: Solve for x
    x = 6,929,563,536/37,926
  6. Step 6: Final answer
    x = 182,712.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.