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Finding the Third Proportional to 25,138.69 and 55,257.19

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Solution

The third proportional to 25,138.69 and 55,257.19 is: 121,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.69 : 55,257.19 = 55,257.19 : x
  2. Step 2: Convert to fraction form
    25,138.69/55,257.19 = 55,257.19/x
  3. Step 3: Cross multiply
    25,138.69x = 55,257.19 × 55,257.19
  4. Step 4: Simplify right side
    25,138.69x = 3,053,356,770.41
  5. Step 5: Solve for x
    x = 3,053,356,770.41/25,138.69
  6. Step 6: Final answer
    x = 121,460.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.