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Finding the Third Proportional to 21,193.50 and 44,135

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Solution

The third proportional to 21,193.50 and 44,135 is: 91,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.50 : 44,135 = 44,135 : x
  2. Step 2: Convert to fraction form
    21,193.50/44,135 = 44,135/x
  3. Step 3: Cross multiply
    21,193.50x = 44,135 × 44,135
  4. Step 4: Simplify right side
    21,193.50x = 1,947,898,225
  5. Step 5: Solve for x
    x = 1,947,898,225/21,193.50
  6. Step 6: Final answer
    x = 91,910.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.