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Finding the Third Proportional to 36,822.75 and 57,603.75

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Solution

The third proportional to 36,822.75 and 57,603.75 is: 90,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,822.75 : 57,603.75 = 57,603.75 : x
  2. Step 2: Convert to fraction form
    36,822.75/57,603.75 = 57,603.75/x
  3. Step 3: Cross multiply
    36,822.75x = 57,603.75 × 57,603.75
  4. Step 4: Simplify right side
    36,822.75x = 3,318,192,014.06
  5. Step 5: Solve for x
    x = 3,318,192,014.06/36,822.75
  6. Step 6: Final answer
    x = 90,112.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.