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Finding the Third Proportional to 12,272 and 17,280

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Solution

The third proportional to 12,272 and 17,280 is: 24,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272 : 17,280 = 17,280 : x
  2. Step 2: Convert to fraction form
    12,272/17,280 = 17,280/x
  3. Step 3: Cross multiply
    12,272x = 17,280 × 17,280
  4. Step 4: Simplify right side
    12,272x = 298,598,400
  5. Step 5: Solve for x
    x = 298,598,400/12,272
  6. Step 6: Final answer
    x = 24,331.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.