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Finding the Third Proportional to 12,523 and 18,751

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Solution

The third proportional to 12,523 and 18,751 is: 28,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523 : 18,751 = 18,751 : x
  2. Step 2: Convert to fraction form
    12,523/18,751 = 18,751/x
  3. Step 3: Cross multiply
    12,523x = 18,751 × 18,751
  4. Step 4: Simplify right side
    12,523x = 351,600,001
  5. Step 5: Solve for x
    x = 351,600,001/12,523
  6. Step 6: Final answer
    x = 28,076.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.