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Finding the Third Proportional to 36,468 and 54,909

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Solution

The third proportional to 36,468 and 54,909 is: 82,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 54,909 = 54,909 : x
  2. Step 2: Convert to fraction form
    36,468/54,909 = 54,909/x
  3. Step 3: Cross multiply
    36,468x = 54,909 × 54,909
  4. Step 4: Simplify right side
    36,468x = 3,014,998,281
  5. Step 5: Solve for x
    x = 3,014,998,281/36,468
  6. Step 6: Final answer
    x = 82,675.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.