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Finding the Third Proportional to 38,019 and 57,048

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Solution

The third proportional to 38,019 and 57,048 is: 85,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,019 : 57,048 = 57,048 : x
  2. Step 2: Convert to fraction form
    38,019/57,048 = 57,048/x
  3. Step 3: Cross multiply
    38,019x = 57,048 × 57,048
  4. Step 4: Simplify right side
    38,019x = 3,254,474,304
  5. Step 5: Solve for x
    x = 3,254,474,304/38,019
  6. Step 6: Final answer
    x = 85,601.26

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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.