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Finding the Third Proportional to 25,794 and 38,595

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Solution

The third proportional to 25,794 and 38,595 is: 57,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794 : 38,595 = 38,595 : x
  2. Step 2: Convert to fraction form
    25,794/38,595 = 38,595/x
  3. Step 3: Cross multiply
    25,794x = 38,595 × 38,595
  4. Step 4: Simplify right side
    25,794x = 1,489,574,025
  5. Step 5: Solve for x
    x = 1,489,574,025/25,794
  6. Step 6: Final answer
    x = 57,748.86

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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.