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Finding the Third Proportional to 22,083 and 33,216

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Solution

The third proportional to 22,083 and 33,216 is: 49,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083 : 33,216 = 33,216 : x
  2. Step 2: Convert to fraction form
    22,083/33,216 = 33,216/x
  3. Step 3: Cross multiply
    22,083x = 33,216 × 33,216
  4. Step 4: Simplify right side
    22,083x = 1,103,302,656
  5. Step 5: Solve for x
    x = 1,103,302,656/22,083
  6. Step 6: Final answer
    x = 49,961.63

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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.