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Finding the Third Proportional to 12,222.14 and 28,863.84

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Solution

The third proportional to 12,222.14 and 28,863.84 is: 68,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.14 : 28,863.84 = 28,863.84 : x
  2. Step 2: Convert to fraction form
    12,222.14/28,863.84 = 28,863.84/x
  3. Step 3: Cross multiply
    12,222.14x = 28,863.84 × 28,863.84
  4. Step 4: Simplify right side
    12,222.14x = 833,121,476.02
  5. Step 5: Solve for x
    x = 833,121,476.02/12,222.14
  6. Step 6: Final answer
    x = 68,164.94

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Why These Related Problems?

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