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Finding the Third Proportional to 33,120 and 49,536

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Solution

The third proportional to 33,120 and 49,536 is: 74,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,120 : 49,536 = 49,536 : x
  2. Step 2: Convert to fraction form
    33,120/49,536 = 49,536/x
  3. Step 3: Cross multiply
    33,120x = 49,536 × 49,536
  4. Step 4: Simplify right side
    33,120x = 2,453,815,296
  5. Step 5: Solve for x
    x = 2,453,815,296/33,120
  6. Step 6: Final answer
    x = 74,088.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.