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Finding the Third Proportional to 24,350 and 34,818

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Solution

The third proportional to 24,350 and 34,818 is: 49,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350 : 34,818 = 34,818 : x
  2. Step 2: Convert to fraction form
    24,350/34,818 = 34,818/x
  3. Step 3: Cross multiply
    24,350x = 34,818 × 34,818
  4. Step 4: Simplify right side
    24,350x = 1,212,293,124
  5. Step 5: Solve for x
    x = 1,212,293,124/24,350
  6. Step 6: Final answer
    x = 49,786.17

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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.