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Finding the Third Proportional to 52,540.50 and 72,249

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Solution

The third proportional to 52,540.50 and 72,249 is: 99,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,540.50 : 72,249 = 72,249 : x
  2. Step 2: Convert to fraction form
    52,540.50/72,249 = 72,249/x
  3. Step 3: Cross multiply
    52,540.50x = 72,249 × 72,249
  4. Step 4: Simplify right side
    52,540.50x = 5,219,918,001
  5. Step 5: Solve for x
    x = 5,219,918,001/52,540.50
  6. Step 6: Final answer
    x = 99,350.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.