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Finding the Third Proportional to 10,912.22 and 23,823.49

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Solution

The third proportional to 10,912.22 and 23,823.49 is: 52,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.22 : 23,823.49 = 23,823.49 : x
  2. Step 2: Convert to fraction form
    10,912.22/23,823.49 = 23,823.49/x
  3. Step 3: Cross multiply
    10,912.22x = 23,823.49 × 23,823.49
  4. Step 4: Simplify right side
    10,912.22x = 567,558,780.01
  5. Step 5: Solve for x
    x = 567,558,780.01/10,912.22
  6. Step 6: Final answer
    x = 52,011.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.