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Finding the Third Proportional to 36,514 and 53,906

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Solution

The third proportional to 36,514 and 53,906 is: 79,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,514 : 53,906 = 53,906 : x
  2. Step 2: Convert to fraction form
    36,514/53,906 = 53,906/x
  3. Step 3: Cross multiply
    36,514x = 53,906 × 53,906
  4. Step 4: Simplify right side
    36,514x = 2,905,856,836
  5. Step 5: Solve for x
    x = 2,905,856,836/36,514
  6. Step 6: Final answer
    x = 79,581.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.