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Finding the Third Proportional to 23,514 and 36,017

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Solution

The third proportional to 23,514 and 36,017 is: 55,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514 : 36,017 = 36,017 : x
  2. Step 2: Convert to fraction form
    23,514/36,017 = 36,017/x
  3. Step 3: Cross multiply
    23,514x = 36,017 × 36,017
  4. Step 4: Simplify right side
    23,514x = 1,297,224,289
  5. Step 5: Solve for x
    x = 1,297,224,289/23,514
  6. Step 6: Final answer
    x = 55,168.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.