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Finding the Third Proportional to 23,612 and 36,252

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Solution

The third proportional to 23,612 and 36,252 is: 55,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612 : 36,252 = 36,252 : x
  2. Step 2: Convert to fraction form
    23,612/36,252 = 36,252/x
  3. Step 3: Cross multiply
    23,612x = 36,252 × 36,252
  4. Step 4: Simplify right side
    23,612x = 1,314,207,504
  5. Step 5: Solve for x
    x = 1,314,207,504/23,612
  6. Step 6: Final answer
    x = 55,658.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.