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Finding the Third Proportional to 23,220 and 50,166

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Solution

The third proportional to 23,220 and 50,166 is: 108,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,220 : 50,166 = 50,166 : x
  2. Step 2: Convert to fraction form
    23,220/50,166 = 50,166/x
  3. Step 3: Cross multiply
    23,220x = 50,166 × 50,166
  4. Step 4: Simplify right side
    23,220x = 2,516,627,556
  5. Step 5: Solve for x
    x = 2,516,627,556/23,220
  6. Step 6: Final answer
    x = 108,381.89

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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.