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Finding the Third Proportional to 6,974 and 14,431

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Solution

The third proportional to 6,974 and 14,431 is: 29,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974 : 14,431 = 14,431 : x
  2. Step 2: Convert to fraction form
    6,974/14,431 = 14,431/x
  3. Step 3: Cross multiply
    6,974x = 14,431 × 14,431
  4. Step 4: Simplify right side
    6,974x = 208,253,761
  5. Step 5: Solve for x
    x = 208,253,761/6,974
  6. Step 6: Final answer
    x = 29,861.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.