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Finding the Third Proportional to 4,974 and 8,089

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Solution

The third proportional to 4,974 and 8,089 is: 13,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 8,089 = 8,089 : x
  2. Step 2: Convert to fraction form
    4,974/8,089 = 8,089/x
  3. Step 3: Cross multiply
    4,974x = 8,089 × 8,089
  4. Step 4: Simplify right side
    4,974x = 65,431,921
  5. Step 5: Solve for x
    x = 65,431,921/4,974
  6. Step 6: Final answer
    x = 13,154.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.