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Finding the Third Proportional to 14,268 and 33,330

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Solution

The third proportional to 14,268 and 33,330 is: 77,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268 : 33,330 = 33,330 : x
  2. Step 2: Convert to fraction form
    14,268/33,330 = 33,330/x
  3. Step 3: Cross multiply
    14,268x = 33,330 × 33,330
  4. Step 4: Simplify right side
    14,268x = 1,110,888,900
  5. Step 5: Solve for x
    x = 1,110,888,900/14,268
  6. Step 6: Final answer
    x = 77,858.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.