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Finding the Third Proportional to 22,092 and 28,669.50

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Solution

The third proportional to 22,092 and 28,669.50 is: 37,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,092 : 28,669.50 = 28,669.50 : x
  2. Step 2: Convert to fraction form
    22,092/28,669.50 = 28,669.50/x
  3. Step 3: Cross multiply
    22,092x = 28,669.50 × 28,669.50
  4. Step 4: Simplify right side
    22,092x = 821,940,230.25
  5. Step 5: Solve for x
    x = 821,940,230.25/22,092
  6. Step 6: Final answer
    x = 37,205.33

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.