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Finding the Third Proportional to 36,204.50 and 57,583

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Solution

The third proportional to 36,204.50 and 57,583 is: 91,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,204.50 : 57,583 = 57,583 : x
  2. Step 2: Convert to fraction form
    36,204.50/57,583 = 57,583/x
  3. Step 3: Cross multiply
    36,204.50x = 57,583 × 57,583
  4. Step 4: Simplify right side
    36,204.50x = 3,315,801,889
  5. Step 5: Solve for x
    x = 3,315,801,889/36,204.50
  6. Step 6: Final answer
    x = 91,585.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.