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Finding the Third Proportional to 25,029 and 50,751

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Solution

The third proportional to 25,029 and 50,751 is: 102,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,029 : 50,751 = 50,751 : x
  2. Step 2: Convert to fraction form
    25,029/50,751 = 50,751/x
  3. Step 3: Cross multiply
    25,029x = 50,751 × 50,751
  4. Step 4: Simplify right side
    25,029x = 2,575,664,001
  5. Step 5: Solve for x
    x = 2,575,664,001/25,029
  6. Step 6: Final answer
    x = 102,907.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.