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Finding the Third Proportional to 14,384 and 33,320

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Solution

The third proportional to 14,384 and 33,320 is: 77,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384 : 33,320 = 33,320 : x
  2. Step 2: Convert to fraction form
    14,384/33,320 = 33,320/x
  3. Step 3: Cross multiply
    14,384x = 33,320 × 33,320
  4. Step 4: Simplify right side
    14,384x = 1,110,222,400
  5. Step 5: Solve for x
    x = 1,110,222,400/14,384
  6. Step 6: Final answer
    x = 77,184.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.