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Finding the Third Proportional to 12,233.53 and 28,863.84

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Solution

The third proportional to 12,233.53 and 28,863.84 is: 68,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 28,863.84 = 28,863.84 : x
  2. Step 2: Convert to fraction form
    12,233.53/28,863.84 = 28,863.84/x
  3. Step 3: Cross multiply
    12,233.53x = 28,863.84 × 28,863.84
  4. Step 4: Simplify right side
    12,233.53x = 833,121,476.02
  5. Step 5: Solve for x
    x = 833,121,476.02/12,233.53
  6. Step 6: Final answer
    x = 68,101.47

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.