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Finding the Third Proportional to 25,408.69 and 55,743.19

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Solution

The third proportional to 25,408.69 and 55,743.19 is: 122,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.69 : 55,743.19 = 55,743.19 : x
  2. Step 2: Convert to fraction form
    25,408.69/55,743.19 = 55,743.19/x
  3. Step 3: Cross multiply
    25,408.69x = 55,743.19 × 55,743.19
  4. Step 4: Simplify right side
    25,408.69x = 3,107,302,952.66
  5. Step 5: Solve for x
    x = 3,107,302,952.66/25,408.69
  6. Step 6: Final answer
    x = 122,292.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.