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Finding the Third Proportional to 21,981 and 34,947

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Solution

The third proportional to 21,981 and 34,947 is: 55,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981 : 34,947 = 34,947 : x
  2. Step 2: Convert to fraction form
    21,981/34,947 = 34,947/x
  3. Step 3: Cross multiply
    21,981x = 34,947 × 34,947
  4. Step 4: Simplify right side
    21,981x = 1,221,292,809
  5. Step 5: Solve for x
    x = 1,221,292,809/21,981
  6. Step 6: Final answer
    x = 55,561.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.