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Finding the Third Proportional to 35,222.50 and 52,849

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Solution

The third proportional to 35,222.50 and 52,849 is: 79,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,222.50 : 52,849 = 52,849 : x
  2. Step 2: Convert to fraction form
    35,222.50/52,849 = 52,849/x
  3. Step 3: Cross multiply
    35,222.50x = 52,849 × 52,849
  4. Step 4: Simplify right side
    35,222.50x = 2,793,016,801
  5. Step 5: Solve for x
    x = 2,793,016,801/35,222.50
  6. Step 6: Final answer
    x = 79,296.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.