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Finding the Third Proportional to 48,396 and 72,876

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Solution

The third proportional to 48,396 and 72,876 is: 109,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,396 : 72,876 = 72,876 : x
  2. Step 2: Convert to fraction form
    48,396/72,876 = 72,876/x
  3. Step 3: Cross multiply
    48,396x = 72,876 × 72,876
  4. Step 4: Simplify right side
    48,396x = 5,310,911,376
  5. Step 5: Solve for x
    x = 5,310,911,376/48,396
  6. Step 6: Final answer
    x = 109,738.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.