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Finding the Third Proportional to 33,625.13 and 52,032.38

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Solution

The third proportional to 33,625.13 and 52,032.38 is: 80,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,625.13 : 52,032.38 = 52,032.38 : x
  2. Step 2: Convert to fraction form
    33,625.13/52,032.38 = 52,032.38/x
  3. Step 3: Cross multiply
    33,625.13x = 52,032.38 × 52,032.38
  4. Step 4: Simplify right side
    33,625.13x = 2,707,368,048.14
  5. Step 5: Solve for x
    x = 2,707,368,048.14/33,625.13
  6. Step 6: Final answer
    x = 80,516.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.