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Finding the Third Proportional to 36,476 and 54,920

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Solution

The third proportional to 36,476 and 54,920 is: 82,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,476 : 54,920 = 54,920 : x
  2. Step 2: Convert to fraction form
    36,476/54,920 = 54,920/x
  3. Step 3: Cross multiply
    36,476x = 54,920 × 54,920
  4. Step 4: Simplify right side
    36,476x = 3,016,206,400
  5. Step 5: Solve for x
    x = 3,016,206,400/36,476
  6. Step 6: Final answer
    x = 82,690.16

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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.