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Finding the Third Proportional to 37,812 and 83,352

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Solution

The third proportional to 37,812 and 83,352 is: 183,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812 : 83,352 = 83,352 : x
  2. Step 2: Convert to fraction form
    37,812/83,352 = 83,352/x
  3. Step 3: Cross multiply
    37,812x = 83,352 × 83,352
  4. Step 4: Simplify right side
    37,812x = 6,947,555,904
  5. Step 5: Solve for x
    x = 6,947,555,904/37,812
  6. Step 6: Final answer
    x = 183,739.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.