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Finding the Third Proportional to 23,565.94 and 50,822.44

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Solution

The third proportional to 23,565.94 and 50,822.44 is: 109,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.94 : 50,822.44 = 50,822.44 : x
  2. Step 2: Convert to fraction form
    23,565.94/50,822.44 = 50,822.44/x
  3. Step 3: Cross multiply
    23,565.94x = 50,822.44 × 50,822.44
  4. Step 4: Simplify right side
    23,565.94x = 2,582,920,153.44
  5. Step 5: Solve for x
    x = 2,582,920,153.44/23,565.94
  6. Step 6: Final answer
    x = 109,603.96

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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.