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Finding the Third Proportional to 10,224 and 22,120

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Solution

The third proportional to 10,224 and 22,120 is: 47,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224 : 22,120 = 22,120 : x
  2. Step 2: Convert to fraction form
    10,224/22,120 = 22,120/x
  3. Step 3: Cross multiply
    10,224x = 22,120 × 22,120
  4. Step 4: Simplify right side
    10,224x = 489,294,400
  5. Step 5: Solve for x
    x = 489,294,400/10,224
  6. Step 6: Final answer
    x = 47,857.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.