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Finding the Third Proportional to 20,514 and 44,484

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Solution

The third proportional to 20,514 and 44,484 is: 96,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514 : 44,484 = 44,484 : x
  2. Step 2: Convert to fraction form
    20,514/44,484 = 44,484/x
  3. Step 3: Cross multiply
    20,514x = 44,484 × 44,484
  4. Step 4: Simplify right side
    20,514x = 1,978,826,256
  5. Step 5: Solve for x
    x = 1,978,826,256/20,514
  6. Step 6: Final answer
    x = 96,462.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.