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Finding the Third Proportional to 9,536 and 22,592

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Solution

The third proportional to 9,536 and 22,592 is: 53,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536 : 22,592 = 22,592 : x
  2. Step 2: Convert to fraction form
    9,536/22,592 = 22,592/x
  3. Step 3: Cross multiply
    9,536x = 22,592 × 22,592
  4. Step 4: Simplify right side
    9,536x = 510,398,464
  5. Step 5: Solve for x
    x = 510,398,464/9,536
  6. Step 6: Final answer
    x = 53,523.33

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.