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Finding the Third Proportional to 36,389 and 54,719

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Solution

The third proportional to 36,389 and 54,719 is: 82,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,389 : 54,719 = 54,719 : x
  2. Step 2: Convert to fraction form
    36,389/54,719 = 54,719/x
  3. Step 3: Cross multiply
    36,389x = 54,719 × 54,719
  4. Step 4: Simplify right side
    36,389x = 2,994,168,961
  5. Step 5: Solve for x
    x = 2,994,168,961/36,389
  6. Step 6: Final answer
    x = 82,282.25

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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.