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Finding the Third Proportional to 24,996 and 37,751

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Solution

The third proportional to 24,996 and 37,751 is: 57,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,996 : 37,751 = 37,751 : x
  2. Step 2: Convert to fraction form
    24,996/37,751 = 37,751/x
  3. Step 3: Cross multiply
    24,996x = 37,751 × 37,751
  4. Step 4: Simplify right side
    24,996x = 1,425,138,001
  5. Step 5: Solve for x
    x = 1,425,138,001/24,996
  6. Step 6: Final answer
    x = 57,014.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.