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Finding the Third Proportional to 25,185 and 37,749

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Solution

The third proportional to 25,185 and 37,749 is: 56,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,185 : 37,749 = 37,749 : x
  2. Step 2: Convert to fraction form
    25,185/37,749 = 37,749/x
  3. Step 3: Cross multiply
    25,185x = 37,749 × 37,749
  4. Step 4: Simplify right side
    25,185x = 1,424,987,001
  5. Step 5: Solve for x
    x = 1,424,987,001/25,185
  6. Step 6: Final answer
    x = 56,580.78

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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.