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Finding the Third Proportional to 25,227 and 37,841

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Solution

The third proportional to 25,227 and 37,841 is: 56,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227 : 37,841 = 37,841 : x
  2. Step 2: Convert to fraction form
    25,227/37,841 = 37,841/x
  3. Step 3: Cross multiply
    25,227x = 37,841 × 37,841
  4. Step 4: Simplify right side
    25,227x = 1,431,941,281
  5. Step 5: Solve for x
    x = 1,431,941,281/25,227
  6. Step 6: Final answer
    x = 56,762.25

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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.