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Finding the Third Proportional to 22,292 and 33,443

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Solution

The third proportional to 22,292 and 33,443 is: 50,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292 : 33,443 = 33,443 : x
  2. Step 2: Convert to fraction form
    22,292/33,443 = 33,443/x
  3. Step 3: Cross multiply
    22,292x = 33,443 × 33,443
  4. Step 4: Simplify right side
    22,292x = 1,118,434,249
  5. Step 5: Solve for x
    x = 1,118,434,249/22,292
  6. Step 6: Final answer
    x = 50,172.00

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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.