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Finding the Third Proportional to 38,992 and 60,486

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Solution

The third proportional to 38,992 and 60,486 is: 93,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,992 : 60,486 = 60,486 : x
  2. Step 2: Convert to fraction form
    38,992/60,486 = 60,486/x
  3. Step 3: Cross multiply
    38,992x = 60,486 × 60,486
  4. Step 4: Simplify right side
    38,992x = 3,658,556,196
  5. Step 5: Solve for x
    x = 3,658,556,196/38,992
  6. Step 6: Final answer
    x = 93,828.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.