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Finding the Third Proportional to 36,092 and 56,697

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Solution

The third proportional to 36,092 and 56,697 is: 89,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,092 : 56,697 = 56,697 : x
  2. Step 2: Convert to fraction form
    36,092/56,697 = 56,697/x
  3. Step 3: Cross multiply
    36,092x = 56,697 × 56,697
  4. Step 4: Simplify right side
    36,092x = 3,214,549,809
  5. Step 5: Solve for x
    x = 3,214,549,809/36,092
  6. Step 6: Final answer
    x = 89,065.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.