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Finding the Third Proportional to 23,829.19 and 50,822.44

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Solution

The third proportional to 23,829.19 and 50,822.44 is: 108,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.19 : 50,822.44 = 50,822.44 : x
  2. Step 2: Convert to fraction form
    23,829.19/50,822.44 = 50,822.44/x
  3. Step 3: Cross multiply
    23,829.19x = 50,822.44 × 50,822.44
  4. Step 4: Simplify right side
    23,829.19x = 2,582,920,153.44
  5. Step 5: Solve for x
    x = 2,582,920,153.44/23,829.19
  6. Step 6: Final answer
    x = 108,393.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.