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Finding the Third Proportional to 34,728 and 75,048

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Solution

The third proportional to 34,728 and 75,048 is: 162,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728 : 75,048 = 75,048 : x
  2. Step 2: Convert to fraction form
    34,728/75,048 = 75,048/x
  3. Step 3: Cross multiply
    34,728x = 75,048 × 75,048
  4. Step 4: Simplify right side
    34,728x = 5,632,202,304
  5. Step 5: Solve for x
    x = 5,632,202,304/34,728
  6. Step 6: Final answer
    x = 162,180.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.