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Finding the Third Proportional to 38,222 and 79,348

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Solution

The third proportional to 38,222 and 79,348 is: 164,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,222 : 79,348 = 79,348 : x
  2. Step 2: Convert to fraction form
    38,222/79,348 = 79,348/x
  3. Step 3: Cross multiply
    38,222x = 79,348 × 79,348
  4. Step 4: Simplify right side
    38,222x = 6,296,105,104
  5. Step 5: Solve for x
    x = 6,296,105,104/38,222
  6. Step 6: Final answer
    x = 164,724.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.