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Finding the Third Proportional to 14,283.84 and 30,951.28

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Solution

The third proportional to 14,283.84 and 30,951.28 is: 67,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.84 : 30,951.28 = 30,951.28 : x
  2. Step 2: Convert to fraction form
    14,283.84/30,951.28 = 30,951.28/x
  3. Step 3: Cross multiply
    14,283.84x = 30,951.28 × 30,951.28
  4. Step 4: Simplify right side
    14,283.84x = 957,981,811.02
  5. Step 5: Solve for x
    x = 957,981,811.02/14,283.84
  6. Step 6: Final answer
    x = 67,067.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.