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Finding the Third Proportional to 21,834.56 and 32,923.97

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Solution

The third proportional to 21,834.56 and 32,923.97 is: 49,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.56 : 32,923.97 = 32,923.97 : x
  2. Step 2: Convert to fraction form
    21,834.56/32,923.97 = 32,923.97/x
  3. Step 3: Cross multiply
    21,834.56x = 32,923.97 × 32,923.97
  4. Step 4: Simplify right side
    21,834.56x = 1,083,987,718.25
  5. Step 5: Solve for x
    x = 1,083,987,718.25/21,834.56
  6. Step 6: Final answer
    x = 49,645.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.