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Finding the Third Proportional to 22,800 and 32,991

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Solution

The third proportional to 22,800 and 32,991 is: 47,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800 : 32,991 = 32,991 : x
  2. Step 2: Convert to fraction form
    22,800/32,991 = 32,991/x
  3. Step 3: Cross multiply
    22,800x = 32,991 × 32,991
  4. Step 4: Simplify right side
    22,800x = 1,088,406,081
  5. Step 5: Solve for x
    x = 1,088,406,081/22,800
  6. Step 6: Final answer
    x = 47,737.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.