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Finding the Third Proportional to 36,538 and 79,338

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Solution

The third proportional to 36,538 and 79,338 is: 172,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,538 : 79,338 = 79,338 : x
  2. Step 2: Convert to fraction form
    36,538/79,338 = 79,338/x
  3. Step 3: Cross multiply
    36,538x = 79,338 × 79,338
  4. Step 4: Simplify right side
    36,538x = 6,294,518,244
  5. Step 5: Solve for x
    x = 6,294,518,244/36,538
  6. Step 6: Final answer
    x = 172,273.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.