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Finding the Third Proportional to 38,979 and 94,248

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Solution

The third proportional to 38,979 and 94,248 is: 227,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,979 : 94,248 = 94,248 : x
  2. Step 2: Convert to fraction form
    38,979/94,248 = 94,248/x
  3. Step 3: Cross multiply
    38,979x = 94,248 × 94,248
  4. Step 4: Simplify right side
    38,979x = 8,882,685,504
  5. Step 5: Solve for x
    x = 8,882,685,504/38,979
  6. Step 6: Final answer
    x = 227,883.87

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.