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Finding the Third Proportional to 21,708.50 and 33,831

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Solution

The third proportional to 21,708.50 and 33,831 is: 52,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.50 : 33,831 = 33,831 : x
  2. Step 2: Convert to fraction form
    21,708.50/33,831 = 33,831/x
  3. Step 3: Cross multiply
    21,708.50x = 33,831 × 33,831
  4. Step 4: Simplify right side
    21,708.50x = 1,144,536,561
  5. Step 5: Solve for x
    x = 1,144,536,561/21,708.50
  6. Step 6: Final answer
    x = 52,722.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.