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Finding the Third Proportional to 25,229 and 37,843

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Solution

The third proportional to 25,229 and 37,843 is: 56,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229 : 37,843 = 37,843 : x
  2. Step 2: Convert to fraction form
    25,229/37,843 = 37,843/x
  3. Step 3: Cross multiply
    25,229x = 37,843 × 37,843
  4. Step 4: Simplify right side
    25,229x = 1,432,092,649
  5. Step 5: Solve for x
    x = 1,432,092,649/25,229
  6. Step 6: Final answer
    x = 56,763.75

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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.