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Finding the Third Proportional to 13,536 and 23,592

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Solution

The third proportional to 13,536 and 23,592 is: 41,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536 : 23,592 = 23,592 : x
  2. Step 2: Convert to fraction form
    13,536/23,592 = 23,592/x
  3. Step 3: Cross multiply
    13,536x = 23,592 × 23,592
  4. Step 4: Simplify right side
    13,536x = 556,582,464
  5. Step 5: Solve for x
    x = 556,582,464/13,536
  6. Step 6: Final answer
    x = 41,118.68

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.