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Finding the Third Proportional to 25,311 and 37,757

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Solution

The third proportional to 25,311 and 37,757 is: 56,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311 : 37,757 = 37,757 : x
  2. Step 2: Convert to fraction form
    25,311/37,757 = 37,757/x
  3. Step 3: Cross multiply
    25,311x = 37,757 × 37,757
  4. Step 4: Simplify right side
    25,311x = 1,425,591,049
  5. Step 5: Solve for x
    x = 1,425,591,049/25,311
  6. Step 6: Final answer
    x = 56,322.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.