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Finding the Third Proportional to 36,403 and 54,861

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Solution

The third proportional to 36,403 and 54,861 is: 82,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,403 : 54,861 = 54,861 : x
  2. Step 2: Convert to fraction form
    36,403/54,861 = 54,861/x
  3. Step 3: Cross multiply
    36,403x = 54,861 × 54,861
  4. Step 4: Simplify right side
    36,403x = 3,009,729,321
  5. Step 5: Solve for x
    x = 3,009,729,321/36,403
  6. Step 6: Final answer
    x = 82,678.06

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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.