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Finding the Third Proportional to 25,074 and 53,368

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Solution

The third proportional to 25,074 and 53,368 is: 113,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074 : 53,368 = 53,368 : x
  2. Step 2: Convert to fraction form
    25,074/53,368 = 53,368/x
  3. Step 3: Cross multiply
    25,074x = 53,368 × 53,368
  4. Step 4: Simplify right side
    25,074x = 2,848,143,424
  5. Step 5: Solve for x
    x = 2,848,143,424/25,074
  6. Step 6: Final answer
    x = 113,589.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.