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Finding the Third Proportional to 10,224 and 22,272

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Solution

The third proportional to 10,224 and 22,272 is: 48,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224 : 22,272 = 22,272 : x
  2. Step 2: Convert to fraction form
    10,224/22,272 = 22,272/x
  3. Step 3: Cross multiply
    10,224x = 22,272 × 22,272
  4. Step 4: Simplify right side
    10,224x = 496,041,984
  5. Step 5: Solve for x
    x = 496,041,984/10,224
  6. Step 6: Final answer
    x = 48,517.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.