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Finding the Third Proportional to 23,846 and 37,751

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Solution

The third proportional to 23,846 and 37,751 is: 59,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846 : 37,751 = 37,751 : x
  2. Step 2: Convert to fraction form
    23,846/37,751 = 37,751/x
  3. Step 3: Cross multiply
    23,846x = 37,751 × 37,751
  4. Step 4: Simplify right side
    23,846x = 1,425,138,001
  5. Step 5: Solve for x
    x = 1,425,138,001/23,846
  6. Step 6: Final answer
    x = 59,764.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.