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Finding the Third Proportional to 21,735 and 33,885

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Solution

The third proportional to 21,735 and 33,885 is: 52,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735 : 33,885 = 33,885 : x
  2. Step 2: Convert to fraction form
    21,735/33,885 = 33,885/x
  3. Step 3: Cross multiply
    21,735x = 33,885 × 33,885
  4. Step 4: Simplify right side
    21,735x = 1,148,193,225
  5. Step 5: Solve for x
    x = 1,148,193,225/21,735
  6. Step 6: Final answer
    x = 52,826.93

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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.