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Finding the Third Proportional to 22,963.50 and 50,232.66

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Solution

The third proportional to 22,963.50 and 50,232.66 is: 109,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 50,232.66 = 50,232.66 : x
  2. Step 2: Convert to fraction form
    22,963.50/50,232.66 = 50,232.66/x
  3. Step 3: Cross multiply
    22,963.50x = 50,232.66 × 50,232.66
  4. Step 4: Simplify right side
    22,963.50x = 2,523,319,753.93
  5. Step 5: Solve for x
    x = 2,523,319,753.93/22,963.50
  6. Step 6: Final answer
    x = 109,883.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.