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Finding the Third Proportional to 25,701 and 55,338

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Solution

The third proportional to 25,701 and 55,338 is: 119,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701 : 55,338 = 55,338 : x
  2. Step 2: Convert to fraction form
    25,701/55,338 = 55,338/x
  3. Step 3: Cross multiply
    25,701x = 55,338 × 55,338
  4. Step 4: Simplify right side
    25,701x = 3,062,294,244
  5. Step 5: Solve for x
    x = 3,062,294,244/25,701
  6. Step 6: Final answer
    x = 119,150.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.