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Finding the Third Proportional to 14,200 and 33,148

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Solution

The third proportional to 14,200 and 33,148 is: 77,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200 : 33,148 = 33,148 : x
  2. Step 2: Convert to fraction form
    14,200/33,148 = 33,148/x
  3. Step 3: Cross multiply
    14,200x = 33,148 × 33,148
  4. Step 4: Simplify right side
    14,200x = 1,098,789,904
  5. Step 5: Solve for x
    x = 1,098,789,904/14,200
  6. Step 6: Final answer
    x = 77,379.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.