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Finding the Third Proportional to 11,728.88 and 23,935.13

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Solution

The third proportional to 11,728.88 and 23,935.13 is: 48,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.88 : 23,935.13 = 23,935.13 : x
  2. Step 2: Convert to fraction form
    11,728.88/23,935.13 = 23,935.13/x
  3. Step 3: Cross multiply
    11,728.88x = 23,935.13 × 23,935.13
  4. Step 4: Simplify right side
    11,728.88x = 572,890,208.77
  5. Step 5: Solve for x
    x = 572,890,208.77/11,728.88
  6. Step 6: Final answer
    x = 48,844.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.