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Finding the Third Proportional to 33,822.50 and 52,575

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Solution

The third proportional to 33,822.50 and 52,575 is: 81,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,822.50 : 52,575 = 52,575 : x
  2. Step 2: Convert to fraction form
    33,822.50/52,575 = 52,575/x
  3. Step 3: Cross multiply
    33,822.50x = 52,575 × 52,575
  4. Step 4: Simplify right side
    33,822.50x = 2,764,130,625
  5. Step 5: Solve for x
    x = 2,764,130,625/33,822.50
  6. Step 6: Final answer
    x = 81,724.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.