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Finding the Third Proportional to 22,164 and 47,805

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Solution

The third proportional to 22,164 and 47,805 is: 103,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164 : 47,805 = 47,805 : x
  2. Step 2: Convert to fraction form
    22,164/47,805 = 47,805/x
  3. Step 3: Cross multiply
    22,164x = 47,805 × 47,805
  4. Step 4: Simplify right side
    22,164x = 2,285,318,025
  5. Step 5: Solve for x
    x = 2,285,318,025/22,164
  6. Step 6: Final answer
    x = 103,109.46

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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.