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Finding the Third Proportional to 11,236.22 and 24,225.33

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Solution

The third proportional to 11,236.22 and 24,225.33 is: 52,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,236.22 : 24,225.33 = 24,225.33 : x
  2. Step 2: Convert to fraction form
    11,236.22/24,225.33 = 24,225.33/x
  3. Step 3: Cross multiply
    11,236.22x = 24,225.33 × 24,225.33
  4. Step 4: Simplify right side
    11,236.22x = 586,866,522.76
  5. Step 5: Solve for x
    x = 586,866,522.76/11,236.22
  6. Step 6: Final answer
    x = 52,229.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.