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Finding the Third Proportional to 38,080 and 84,992

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Solution

The third proportional to 38,080 and 84,992 is: 189,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080 : 84,992 = 84,992 : x
  2. Step 2: Convert to fraction form
    38,080/84,992 = 84,992/x
  3. Step 3: Cross multiply
    38,080x = 84,992 × 84,992
  4. Step 4: Simplify right side
    38,080x = 7,223,640,064
  5. Step 5: Solve for x
    x = 7,223,640,064/38,080
  6. Step 6: Final answer
    x = 189,696.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.