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Finding the Third Proportional to 25,891 and 53,433

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Solution

The third proportional to 25,891 and 53,433 is: 110,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891 : 53,433 = 53,433 : x
  2. Step 2: Convert to fraction form
    25,891/53,433 = 53,433/x
  3. Step 3: Cross multiply
    25,891x = 53,433 × 53,433
  4. Step 4: Simplify right side
    25,891x = 2,855,085,489
  5. Step 5: Solve for x
    x = 2,855,085,489/25,891
  6. Step 6: Final answer
    x = 110,273.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.