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Finding the Third Proportional to 21,910.50 and 32,828

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Solution

The third proportional to 21,910.50 and 32,828 is: 49,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.50 : 32,828 = 32,828 : x
  2. Step 2: Convert to fraction form
    21,910.50/32,828 = 32,828/x
  3. Step 3: Cross multiply
    21,910.50x = 32,828 × 32,828
  4. Step 4: Simplify right side
    21,910.50x = 1,077,677,584
  5. Step 5: Solve for x
    x = 1,077,677,584/21,910.50
  6. Step 6: Final answer
    x = 49,185.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.