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Finding the Third Proportional to 24,983 and 52,274

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Solution

The third proportional to 24,983 and 52,274 is: 109,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,983 : 52,274 = 52,274 : x
  2. Step 2: Convert to fraction form
    24,983/52,274 = 52,274/x
  3. Step 3: Cross multiply
    24,983x = 52,274 × 52,274
  4. Step 4: Simplify right side
    24,983x = 2,732,571,076
  5. Step 5: Solve for x
    x = 2,732,571,076/24,983
  6. Step 6: Final answer
    x = 109,377.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.