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Finding the Third Proportional to 25,843 and 38,764

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Solution

The third proportional to 25,843 and 38,764 is: 58,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843 : 38,764 = 38,764 : x
  2. Step 2: Convert to fraction form
    25,843/38,764 = 38,764/x
  3. Step 3: Cross multiply
    25,843x = 38,764 × 38,764
  4. Step 4: Simplify right side
    25,843x = 1,502,647,696
  5. Step 5: Solve for x
    x = 1,502,647,696/25,843
  6. Step 6: Final answer
    x = 58,145.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.