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Finding the Third Proportional to 13,964 and 18,974

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Solution

The third proportional to 13,964 and 18,974 is: 25,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964 : 18,974 = 18,974 : x
  2. Step 2: Convert to fraction form
    13,964/18,974 = 18,974/x
  3. Step 3: Cross multiply
    13,964x = 18,974 × 18,974
  4. Step 4: Simplify right side
    13,964x = 360,012,676
  5. Step 5: Solve for x
    x = 360,012,676/13,964
  6. Step 6: Final answer
    x = 25,781.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.