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Finding the Third Proportional to 33,520 and 50,284

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Solution

The third proportional to 33,520 and 50,284 is: 75,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520 : 50,284 = 50,284 : x
  2. Step 2: Convert to fraction form
    33,520/50,284 = 50,284/x
  3. Step 3: Cross multiply
    33,520x = 50,284 × 50,284
  4. Step 4: Simplify right side
    33,520x = 2,528,480,656
  5. Step 5: Solve for x
    x = 2,528,480,656/33,520
  6. Step 6: Final answer
    x = 75,432.00

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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.