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Finding the Third Proportional to 37,372 and 79,036

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Solution

The third proportional to 37,372 and 79,036 is: 167,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,372 : 79,036 = 79,036 : x
  2. Step 2: Convert to fraction form
    37,372/79,036 = 79,036/x
  3. Step 3: Cross multiply
    37,372x = 79,036 × 79,036
  4. Step 4: Simplify right side
    37,372x = 6,246,689,296
  5. Step 5: Solve for x
    x = 6,246,689,296/37,372
  6. Step 6: Final answer
    x = 167,148.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.