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Finding the Third Proportional to 13,812 and 21,946

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Solution

The third proportional to 13,812 and 21,946 is: 34,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812 : 21,946 = 21,946 : x
  2. Step 2: Convert to fraction form
    13,812/21,946 = 21,946/x
  3. Step 3: Cross multiply
    13,812x = 21,946 × 21,946
  4. Step 4: Simplify right side
    13,812x = 481,626,916
  5. Step 5: Solve for x
    x = 481,626,916/13,812
  6. Step 6: Final answer
    x = 34,870.18

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Why These Related Problems?

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