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Finding the Third Proportional to 24,162 and 34,025

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Solution

The third proportional to 24,162 and 34,025 is: 47,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162 : 34,025 = 34,025 : x
  2. Step 2: Convert to fraction form
    24,162/34,025 = 34,025/x
  3. Step 3: Cross multiply
    24,162x = 34,025 × 34,025
  4. Step 4: Simplify right side
    24,162x = 1,157,700,625
  5. Step 5: Solve for x
    x = 1,157,700,625/24,162
  6. Step 6: Final answer
    x = 47,914.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.