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Finding the Third Proportional to 25,568 and 54,778

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Solution

The third proportional to 25,568 and 54,778 is: 117,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568 : 54,778 = 54,778 : x
  2. Step 2: Convert to fraction form
    25,568/54,778 = 54,778/x
  3. Step 3: Cross multiply
    25,568x = 54,778 × 54,778
  4. Step 4: Simplify right side
    25,568x = 3,000,629,284
  5. Step 5: Solve for x
    x = 3,000,629,284/25,568
  6. Step 6: Final answer
    x = 117,358.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.