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Finding the Third Proportional to 37,858 and 80,572

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Solution

The third proportional to 37,858 and 80,572 is: 171,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858 : 80,572 = 80,572 : x
  2. Step 2: Convert to fraction form
    37,858/80,572 = 80,572/x
  3. Step 3: Cross multiply
    37,858x = 80,572 × 80,572
  4. Step 4: Simplify right side
    37,858x = 6,491,847,184
  5. Step 5: Solve for x
    x = 6,491,847,184/37,858
  6. Step 6: Final answer
    x = 171,478.87

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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.