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Finding the Third Proportional to 15,452 and 36,013

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Solution

The third proportional to 15,452 and 36,013 is: 83,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,452 : 36,013 = 36,013 : x
  2. Step 2: Convert to fraction form
    15,452/36,013 = 36,013/x
  3. Step 3: Cross multiply
    15,452x = 36,013 × 36,013
  4. Step 4: Simplify right side
    15,452x = 1,296,936,169
  5. Step 5: Solve for x
    x = 1,296,936,169/15,452
  6. Step 6: Final answer
    x = 83,933.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.