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Finding the Third Proportional to 33,829 and 48,082

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Solution

The third proportional to 33,829 and 48,082 is: 68,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829 : 48,082 = 48,082 : x
  2. Step 2: Convert to fraction form
    33,829/48,082 = 48,082/x
  3. Step 3: Cross multiply
    33,829x = 48,082 × 48,082
  4. Step 4: Simplify right side
    33,829x = 2,311,878,724
  5. Step 5: Solve for x
    x = 2,311,878,724/33,829
  6. Step 6: Final answer
    x = 68,340.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.