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Finding the Third Proportional to 38,982 and 83,296

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Solution

The third proportional to 38,982 and 83,296 is: 177,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982 : 83,296 = 83,296 : x
  2. Step 2: Convert to fraction form
    38,982/83,296 = 83,296/x
  3. Step 3: Cross multiply
    38,982x = 83,296 × 83,296
  4. Step 4: Simplify right side
    38,982x = 6,938,223,616
  5. Step 5: Solve for x
    x = 6,938,223,616/38,982
  6. Step 6: Final answer
    x = 177,985.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.