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Finding the Third Proportional to 12,897 and 19,981

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Solution

The third proportional to 12,897 and 19,981 is: 30,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 19,981 = 19,981 : x
  2. Step 2: Convert to fraction form
    12,897/19,981 = 19,981/x
  3. Step 3: Cross multiply
    12,897x = 19,981 × 19,981
  4. Step 4: Simplify right side
    12,897x = 399,240,361
  5. Step 5: Solve for x
    x = 399,240,361/12,897
  6. Step 6: Final answer
    x = 30,956.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.