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Finding the Third Proportional to 23,192.25 and 33,502.13

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Solution

The third proportional to 23,192.25 and 33,502.13 is: 48,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,192.25 : 33,502.13 = 33,502.13 : x
  2. Step 2: Convert to fraction form
    23,192.25/33,502.13 = 33,502.13/x
  3. Step 3: Cross multiply
    23,192.25x = 33,502.13 × 33,502.13
  4. Step 4: Simplify right side
    23,192.25x = 1,122,392,379.52
  5. Step 5: Solve for x
    x = 1,122,392,379.52/23,192.25
  6. Step 6: Final answer
    x = 48,395.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.