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Finding the Third Proportional to 33,830 and 48,084

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Solution

The third proportional to 33,830 and 48,084 is: 68,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830 : 48,084 = 48,084 : x
  2. Step 2: Convert to fraction form
    33,830/48,084 = 48,084/x
  3. Step 3: Cross multiply
    33,830x = 48,084 × 48,084
  4. Step 4: Simplify right side
    33,830x = 2,312,071,056
  5. Step 5: Solve for x
    x = 2,312,071,056/33,830
  6. Step 6: Final answer
    x = 68,343.81

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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.