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Finding the Third Proportional to 25,703 and 53,458

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Solution

The third proportional to 25,703 and 53,458 is: 111,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,703 : 53,458 = 53,458 : x
  2. Step 2: Convert to fraction form
    25,703/53,458 = 53,458/x
  3. Step 3: Cross multiply
    25,703x = 53,458 × 53,458
  4. Step 4: Simplify right side
    25,703x = 2,857,757,764
  5. Step 5: Solve for x
    x = 2,857,757,764/25,703
  6. Step 6: Final answer
    x = 111,183.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.