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Finding the Third Proportional to 36,490 and 54,755

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Solution

The third proportional to 36,490 and 54,755 is: 82,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,490 : 54,755 = 54,755 : x
  2. Step 2: Convert to fraction form
    36,490/54,755 = 54,755/x
  3. Step 3: Cross multiply
    36,490x = 54,755 × 54,755
  4. Step 4: Simplify right side
    36,490x = 2,998,110,025
  5. Step 5: Solve for x
    x = 2,998,110,025/36,490
  6. Step 6: Final answer
    x = 82,162.51

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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.