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Finding the Third Proportional to 32,409 and 50,774

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Solution

The third proportional to 32,409 and 50,774 is: 79,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409 : 50,774 = 50,774 : x
  2. Step 2: Convert to fraction form
    32,409/50,774 = 50,774/x
  3. Step 3: Cross multiply
    32,409x = 50,774 × 50,774
  4. Step 4: Simplify right side
    32,409x = 2,577,999,076
  5. Step 5: Solve for x
    x = 2,577,999,076/32,409
  6. Step 6: Final answer
    x = 79,545.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.