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Finding the Third Proportional to 36,153 and 54,337.50

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Solution

The third proportional to 36,153 and 54,337.50 is: 81,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153 : 54,337.50 = 54,337.50 : x
  2. Step 2: Convert to fraction form
    36,153/54,337.50 = 54,337.50/x
  3. Step 3: Cross multiply
    36,153x = 54,337.50 × 54,337.50
  4. Step 4: Simplify right side
    36,153x = 2,952,563,906.25
  5. Step 5: Solve for x
    x = 2,952,563,906.25/36,153
  6. Step 6: Final answer
    x = 81,668.57

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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.