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Finding the Third Proportional to 20,950 and 45,932

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Solution

The third proportional to 20,950 and 45,932 is: 100,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950 : 45,932 = 45,932 : x
  2. Step 2: Convert to fraction form
    20,950/45,932 = 45,932/x
  3. Step 3: Cross multiply
    20,950x = 45,932 × 45,932
  4. Step 4: Simplify right side
    20,950x = 2,109,748,624
  5. Step 5: Solve for x
    x = 2,109,748,624/20,950
  6. Step 6: Final answer
    x = 100,703.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.