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Finding the Third Proportional to 37,378 and 79,600

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Solution

The third proportional to 37,378 and 79,600 is: 169,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,378 : 79,600 = 79,600 : x
  2. Step 2: Convert to fraction form
    37,378/79,600 = 79,600/x
  3. Step 3: Cross multiply
    37,378x = 79,600 × 79,600
  4. Step 4: Simplify right side
    37,378x = 6,336,160,000
  5. Step 5: Solve for x
    x = 6,336,160,000/37,378
  6. Step 6: Final answer
    x = 169,515.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.