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Finding the Third Proportional to 22,722.75 and 33,427.13

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Solution

The third proportional to 22,722.75 and 33,427.13 is: 49,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.75 : 33,427.13 = 33,427.13 : x
  2. Step 2: Convert to fraction form
    22,722.75/33,427.13 = 33,427.13/x
  3. Step 3: Cross multiply
    22,722.75x = 33,427.13 × 33,427.13
  4. Step 4: Simplify right side
    22,722.75x = 1,117,372,685.77
  5. Step 5: Solve for x
    x = 1,117,372,685.77/22,722.75
  6. Step 6: Final answer
    x = 49,174.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.