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Finding the Third Proportional to 38,849 and 83,362

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Solution

The third proportional to 38,849 and 83,362 is: 178,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,849 : 83,362 = 83,362 : x
  2. Step 2: Convert to fraction form
    38,849/83,362 = 83,362/x
  3. Step 3: Cross multiply
    38,849x = 83,362 × 83,362
  4. Step 4: Simplify right side
    38,849x = 6,949,223,044
  5. Step 5: Solve for x
    x = 6,949,223,044/38,849
  6. Step 6: Final answer
    x = 178,877.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.