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Finding the Third Proportional to 14,520 and 33,480

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Solution

The third proportional to 14,520 and 33,480 is: 77,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520 : 33,480 = 33,480 : x
  2. Step 2: Convert to fraction form
    14,520/33,480 = 33,480/x
  3. Step 3: Cross multiply
    14,520x = 33,480 × 33,480
  4. Step 4: Simplify right side
    14,520x = 1,120,910,400
  5. Step 5: Solve for x
    x = 1,120,910,400/14,520
  6. Step 6: Final answer
    x = 77,197.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.