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Finding the Third Proportional to 21,866 and 34,376

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Solution

The third proportional to 21,866 and 34,376 is: 54,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866 : 34,376 = 34,376 : x
  2. Step 2: Convert to fraction form
    21,866/34,376 = 34,376/x
  3. Step 3: Cross multiply
    21,866x = 34,376 × 34,376
  4. Step 4: Simplify right side
    21,866x = 1,181,709,376
  5. Step 5: Solve for x
    x = 1,181,709,376/21,866
  6. Step 6: Final answer
    x = 54,043.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.