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Finding the Third Proportional to 29,544 and 60,222

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Solution

The third proportional to 29,544 and 60,222 is: 122,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544 : 60,222 = 60,222 : x
  2. Step 2: Convert to fraction form
    29,544/60,222 = 60,222/x
  3. Step 3: Cross multiply
    29,544x = 60,222 × 60,222
  4. Step 4: Simplify right side
    29,544x = 3,626,689,284
  5. Step 5: Solve for x
    x = 3,626,689,284/29,544
  6. Step 6: Final answer
    x = 122,755.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.