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Finding the Third Proportional to 25,367 and 37,077

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Solution

The third proportional to 25,367 and 37,077 is: 54,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367 : 37,077 = 37,077 : x
  2. Step 2: Convert to fraction form
    25,367/37,077 = 37,077/x
  3. Step 3: Cross multiply
    25,367x = 37,077 × 37,077
  4. Step 4: Simplify right side
    25,367x = 1,374,703,929
  5. Step 5: Solve for x
    x = 1,374,703,929/25,367
  6. Step 6: Final answer
    x = 54,192.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.