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Finding the Third Proportional to 9,974 and 14,767

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Solution

The third proportional to 9,974 and 14,767 is: 21,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974 : 14,767 = 14,767 : x
  2. Step 2: Convert to fraction form
    9,974/14,767 = 14,767/x
  3. Step 3: Cross multiply
    9,974x = 14,767 × 14,767
  4. Step 4: Simplify right side
    9,974x = 218,064,289
  5. Step 5: Solve for x
    x = 218,064,289/9,974
  6. Step 6: Final answer
    x = 21,863.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.