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Finding the Third Proportional to 37,238 and 79,806

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Solution

The third proportional to 37,238 and 79,806 is: 171,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,238 : 79,806 = 79,806 : x
  2. Step 2: Convert to fraction form
    37,238/79,806 = 79,806/x
  3. Step 3: Cross multiply
    37,238x = 79,806 × 79,806
  4. Step 4: Simplify right side
    37,238x = 6,368,997,636
  5. Step 5: Solve for x
    x = 6,368,997,636/37,238
  6. Step 6: Final answer
    x = 171,034.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.