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Finding the Third Proportional to 33,612 and 48,841

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Solution

The third proportional to 33,612 and 48,841 is: 70,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,612 : 48,841 = 48,841 : x
  2. Step 2: Convert to fraction form
    33,612/48,841 = 48,841/x
  3. Step 3: Cross multiply
    33,612x = 48,841 × 48,841
  4. Step 4: Simplify right side
    33,612x = 2,385,443,281
  5. Step 5: Solve for x
    x = 2,385,443,281/33,612
  6. Step 6: Final answer
    x = 70,969.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.