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Finding the Third Proportional to 14,561 and 21,962

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Solution

The third proportional to 14,561 and 21,962 is: 33,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561 : 21,962 = 21,962 : x
  2. Step 2: Convert to fraction form
    14,561/21,962 = 21,962/x
  3. Step 3: Cross multiply
    14,561x = 21,962 × 21,962
  4. Step 4: Simplify right side
    14,561x = 482,329,444
  5. Step 5: Solve for x
    x = 482,329,444/14,561
  6. Step 6: Final answer
    x = 33,124.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.