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Finding the Third Proportional to 1,816 and 4,876

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Solution

The third proportional to 1,816 and 4,876 is: 13,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816 : 4,876 = 4,876 : x
  2. Step 2: Convert to fraction form
    1,816/4,876 = 4,876/x
  3. Step 3: Cross multiply
    1,816x = 4,876 × 4,876
  4. Step 4: Simplify right side
    1,816x = 23,775,376
  5. Step 5: Solve for x
    x = 23,775,376/1,816
  6. Step 6: Final answer
    x = 13,092.17

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.