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Finding the Third Proportional to 21,764 and 32,891

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Solution

The third proportional to 21,764 and 32,891 is: 49,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764 : 32,891 = 32,891 : x
  2. Step 2: Convert to fraction form
    21,764/32,891 = 32,891/x
  3. Step 3: Cross multiply
    21,764x = 32,891 × 32,891
  4. Step 4: Simplify right side
    21,764x = 1,081,817,881
  5. Step 5: Solve for x
    x = 1,081,817,881/21,764
  6. Step 6: Final answer
    x = 49,706.76

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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.