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Finding the Third Proportional to 38,746 and 85,268

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Solution

The third proportional to 38,746 and 85,268 is: 187,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,746 : 85,268 = 85,268 : x
  2. Step 2: Convert to fraction form
    38,746/85,268 = 85,268/x
  3. Step 3: Cross multiply
    38,746x = 85,268 × 85,268
  4. Step 4: Simplify right side
    38,746x = 7,270,631,824
  5. Step 5: Solve for x
    x = 7,270,631,824/38,746
  6. Step 6: Final answer
    x = 187,648.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.