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Finding the Third Proportional to 25,022.25 and 55,508.63

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Solution

The third proportional to 25,022.25 and 55,508.63 is: 123,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,022.25 : 55,508.63 = 55,508.63 : x
  2. Step 2: Convert to fraction form
    25,022.25/55,508.63 = 55,508.63/x
  3. Step 3: Cross multiply
    25,022.25x = 55,508.63 × 55,508.63
  4. Step 4: Simplify right side
    25,022.25x = 3,081,207,449.39
  5. Step 5: Solve for x
    x = 3,081,207,449.39/25,022.25
  6. Step 6: Final answer
    x = 123,138.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.