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Finding the Third Proportional to 21,857 and 33,601.50

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Solution

The third proportional to 21,857 and 33,601.50 is: 51,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857 : 33,601.50 = 33,601.50 : x
  2. Step 2: Convert to fraction form
    21,857/33,601.50 = 33,601.50/x
  3. Step 3: Cross multiply
    21,857x = 33,601.50 × 33,601.50
  4. Step 4: Simplify right side
    21,857x = 1,129,060,802.25
  5. Step 5: Solve for x
    x = 1,129,060,802.25/21,857
  6. Step 6: Final answer
    x = 51,656.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.