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Finding the Third Proportional to 36,512 and 58,048

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Solution

The third proportional to 36,512 and 58,048 is: 92,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,512 : 58,048 = 58,048 : x
  2. Step 2: Convert to fraction form
    36,512/58,048 = 58,048/x
  3. Step 3: Cross multiply
    36,512x = 58,048 × 58,048
  4. Step 4: Simplify right side
    36,512x = 3,369,570,304
  5. Step 5: Solve for x
    x = 3,369,570,304/36,512
  6. Step 6: Final answer
    x = 92,286.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.