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Finding the Third Proportional to 22,178.25 and 33,234.38

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Solution

The third proportional to 22,178.25 and 33,234.38 is: 49,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.25 : 33,234.38 = 33,234.38 : x
  2. Step 2: Convert to fraction form
    22,178.25/33,234.38 = 33,234.38/x
  3. Step 3: Cross multiply
    22,178.25x = 33,234.38 × 33,234.38
  4. Step 4: Simplify right side
    22,178.25x = 1,104,523,681.64
  5. Step 5: Solve for x
    x = 1,104,523,681.64/22,178.25
  6. Step 6: Final answer
    x = 49,802.11

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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.