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Finding the Third Proportional to 37,024 and 79,880

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Solution

The third proportional to 37,024 and 79,880 is: 172,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,024 : 79,880 = 79,880 : x
  2. Step 2: Convert to fraction form
    37,024/79,880 = 79,880/x
  3. Step 3: Cross multiply
    37,024x = 79,880 × 79,880
  4. Step 4: Simplify right side
    37,024x = 6,380,814,400
  5. Step 5: Solve for x
    x = 6,380,814,400/37,024
  6. Step 6: Final answer
    x = 172,342.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.