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Finding the Third Proportional to 25,494 and 55,913

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Solution

The third proportional to 25,494 and 55,913 is: 122,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494 : 55,913 = 55,913 : x
  2. Step 2: Convert to fraction form
    25,494/55,913 = 55,913/x
  3. Step 3: Cross multiply
    25,494x = 55,913 × 55,913
  4. Step 4: Simplify right side
    25,494x = 3,126,263,569
  5. Step 5: Solve for x
    x = 3,126,263,569/25,494
  6. Step 6: Final answer
    x = 122,627.42

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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.