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Finding the Third Proportional to 36,809 and 57,102

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Solution

The third proportional to 36,809 and 57,102 is: 88,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,809 : 57,102 = 57,102 : x
  2. Step 2: Convert to fraction form
    36,809/57,102 = 57,102/x
  3. Step 3: Cross multiply
    36,809x = 57,102 × 57,102
  4. Step 4: Simplify right side
    36,809x = 3,260,638,404
  5. Step 5: Solve for x
    x = 3,260,638,404/36,809
  6. Step 6: Final answer
    x = 88,582.64

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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.