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Finding the Third Proportional to 10,592 and 15,188

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Solution

The third proportional to 10,592 and 15,188 is: 21,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592 : 15,188 = 15,188 : x
  2. Step 2: Convert to fraction form
    10,592/15,188 = 15,188/x
  3. Step 3: Cross multiply
    10,592x = 15,188 × 15,188
  4. Step 4: Simplify right side
    10,592x = 230,675,344
  5. Step 5: Solve for x
    x = 230,675,344/10,592
  6. Step 6: Final answer
    x = 21,778.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.