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Finding the Third Proportional to 24,462 and 34,965

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Solution

The third proportional to 24,462 and 34,965 is: 49,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 34,965 = 34,965 : x
  2. Step 2: Convert to fraction form
    24,462/34,965 = 34,965/x
  3. Step 3: Cross multiply
    24,462x = 34,965 × 34,965
  4. Step 4: Simplify right side
    24,462x = 1,222,551,225
  5. Step 5: Solve for x
    x = 1,222,551,225/24,462
  6. Step 6: Final answer
    x = 49,977.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.