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Finding the Third Proportional to 11,076.91 and 24,306.49

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Solution

The third proportional to 11,076.91 and 24,306.49 is: 53,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.91 : 24,306.49 = 24,306.49 : x
  2. Step 2: Convert to fraction form
    11,076.91/24,306.49 = 24,306.49/x
  3. Step 3: Cross multiply
    11,076.91x = 24,306.49 × 24,306.49
  4. Step 4: Simplify right side
    11,076.91x = 590,805,277.62
  5. Step 5: Solve for x
    x = 590,805,277.62/11,076.91
  6. Step 6: Final answer
    x = 53,336.66

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