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Finding the Third Proportional to 36,630 and 54,921

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Solution

The third proportional to 36,630 and 54,921 is: 82,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,630 : 54,921 = 54,921 : x
  2. Step 2: Convert to fraction form
    36,630/54,921 = 54,921/x
  3. Step 3: Cross multiply
    36,630x = 54,921 × 54,921
  4. Step 4: Simplify right side
    36,630x = 3,016,316,241
  5. Step 5: Solve for x
    x = 3,016,316,241/36,630
  6. Step 6: Final answer
    x = 82,345.52

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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.