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Finding the Third Proportional to 24,014 and 52,231

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Solution

The third proportional to 24,014 and 52,231 is: 113,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014 : 52,231 = 52,231 : x
  2. Step 2: Convert to fraction form
    24,014/52,231 = 52,231/x
  3. Step 3: Cross multiply
    24,014x = 52,231 × 52,231
  4. Step 4: Simplify right side
    24,014x = 2,728,077,361
  5. Step 5: Solve for x
    x = 2,728,077,361/24,014
  6. Step 6: Final answer
    x = 113,603.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.