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Finding the Third Proportional to 13,280 and 20,249

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Solution

The third proportional to 13,280 and 20,249 is: 30,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280 : 20,249 = 20,249 : x
  2. Step 2: Convert to fraction form
    13,280/20,249 = 20,249/x
  3. Step 3: Cross multiply
    13,280x = 20,249 × 20,249
  4. Step 4: Simplify right side
    13,280x = 410,022,001
  5. Step 5: Solve for x
    x = 410,022,001/13,280
  6. Step 6: Final answer
    x = 30,875.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.