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Finding the Third Proportional to 25,857 and 53,331.75

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Solution

The third proportional to 25,857 and 53,331.75 is: 110,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857 : 53,331.75 = 53,331.75 : x
  2. Step 2: Convert to fraction form
    25,857/53,331.75 = 53,331.75/x
  3. Step 3: Cross multiply
    25,857x = 53,331.75 × 53,331.75
  4. Step 4: Simplify right side
    25,857x = 2,844,275,558.06
  5. Step 5: Solve for x
    x = 2,844,275,558.06/25,857
  6. Step 6: Final answer
    x = 110,000.21

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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.