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Finding the Third Proportional to 12,994 and 20,251

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Solution

The third proportional to 12,994 and 20,251 is: 31,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994 : 20,251 = 20,251 : x
  2. Step 2: Convert to fraction form
    12,994/20,251 = 20,251/x
  3. Step 3: Cross multiply
    12,994x = 20,251 × 20,251
  4. Step 4: Simplify right side
    12,994x = 410,103,001
  5. Step 5: Solve for x
    x = 410,103,001/12,994
  6. Step 6: Final answer
    x = 31,560.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.