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Finding the Third Proportional to 36,872 and 57,048

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Solution

The third proportional to 36,872 and 57,048 is: 88,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,872 : 57,048 = 57,048 : x
  2. Step 2: Convert to fraction form
    36,872/57,048 = 57,048/x
  3. Step 3: Cross multiply
    36,872x = 57,048 × 57,048
  4. Step 4: Simplify right side
    36,872x = 3,254,474,304
  5. Step 5: Solve for x
    x = 3,254,474,304/36,872
  6. Step 6: Final answer
    x = 88,264.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.