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Finding the Third Proportional to 14,941 and 23,134

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Solution

The third proportional to 14,941 and 23,134 is: 35,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,941 : 23,134 = 23,134 : x
  2. Step 2: Convert to fraction form
    14,941/23,134 = 23,134/x
  3. Step 3: Cross multiply
    14,941x = 23,134 × 23,134
  4. Step 4: Simplify right side
    14,941x = 535,181,956
  5. Step 5: Solve for x
    x = 535,181,956/14,941
  6. Step 6: Final answer
    x = 35,819.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.