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Finding the Third Proportional to 37,802 and 83,218

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Solution

The third proportional to 37,802 and 83,218 is: 183,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802 : 83,218 = 83,218 : x
  2. Step 2: Convert to fraction form
    37,802/83,218 = 83,218/x
  3. Step 3: Cross multiply
    37,802x = 83,218 × 83,218
  4. Step 4: Simplify right side
    37,802x = 6,925,235,524
  5. Step 5: Solve for x
    x = 6,925,235,524/37,802
  6. Step 6: Final answer
    x = 183,197.60

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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.