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Finding the Third Proportional to 14,262 and 33,324

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Solution

The third proportional to 14,262 and 33,324 is: 77,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262 : 33,324 = 33,324 : x
  2. Step 2: Convert to fraction form
    14,262/33,324 = 33,324/x
  3. Step 3: Cross multiply
    14,262x = 33,324 × 33,324
  4. Step 4: Simplify right side
    14,262x = 1,110,488,976
  5. Step 5: Solve for x
    x = 1,110,488,976/14,262
  6. Step 6: Final answer
    x = 77,863.48

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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.