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Finding the Third Proportional to 23,024 and 36,387

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Solution

The third proportional to 23,024 and 36,387 is: 57,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024 : 36,387 = 36,387 : x
  2. Step 2: Convert to fraction form
    23,024/36,387 = 36,387/x
  3. Step 3: Cross multiply
    23,024x = 36,387 × 36,387
  4. Step 4: Simplify right side
    23,024x = 1,324,013,769
  5. Step 5: Solve for x
    x = 1,324,013,769/23,024
  6. Step 6: Final answer
    x = 57,505.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.