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Finding the Third Proportional to 36,514.13 and 54,902.81

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Solution

The third proportional to 36,514.13 and 54,902.81 is: 82,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,514.13 : 54,902.81 = 54,902.81 : x
  2. Step 2: Convert to fraction form
    36,514.13/54,902.81 = 54,902.81/x
  3. Step 3: Cross multiply
    36,514.13x = 54,902.81 × 54,902.81
  4. Step 4: Simplify right side
    36,514.13x = 3,014,318,820.41
  5. Step 5: Solve for x
    x = 3,014,318,820.41/36,514.13
  6. Step 6: Final answer
    x = 82,552.13

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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.