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Finding the Third Proportional to 23,290.31 and 32,923.97

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Solution

The third proportional to 23,290.31 and 32,923.97 is: 46,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.31 : 32,923.97 = 32,923.97 : x
  2. Step 2: Convert to fraction form
    23,290.31/32,923.97 = 32,923.97/x
  3. Step 3: Cross multiply
    23,290.31x = 32,923.97 × 32,923.97
  4. Step 4: Simplify right side
    23,290.31x = 1,083,987,718.25
  5. Step 5: Solve for x
    x = 1,083,987,718.25/23,290.31
  6. Step 6: Final answer
    x = 46,542.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.