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Finding the Third Proportional to 21,409 and 32,923

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Solution

The third proportional to 21,409 and 32,923 is: 50,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409 : 32,923 = 32,923 : x
  2. Step 2: Convert to fraction form
    21,409/32,923 = 32,923/x
  3. Step 3: Cross multiply
    21,409x = 32,923 × 32,923
  4. Step 4: Simplify right side
    21,409x = 1,083,923,929
  5. Step 5: Solve for x
    x = 1,083,923,929/21,409
  6. Step 6: Final answer
    x = 50,629.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.