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Finding the Third Proportional to 22,306 and 48,016

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Solution

The third proportional to 22,306 and 48,016 is: 103,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306 : 48,016 = 48,016 : x
  2. Step 2: Convert to fraction form
    22,306/48,016 = 48,016/x
  3. Step 3: Cross multiply
    22,306x = 48,016 × 48,016
  4. Step 4: Simplify right side
    22,306x = 2,305,536,256
  5. Step 5: Solve for x
    x = 2,305,536,256/22,306
  6. Step 6: Final answer
    x = 103,359.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.