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Finding the Third Proportional to 24,284 and 50,641

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Solution

The third proportional to 24,284 and 50,641 is: 105,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284 : 50,641 = 50,641 : x
  2. Step 2: Convert to fraction form
    24,284/50,641 = 50,641/x
  3. Step 3: Cross multiply
    24,284x = 50,641 × 50,641
  4. Step 4: Simplify right side
    24,284x = 2,564,510,881
  5. Step 5: Solve for x
    x = 2,564,510,881/24,284
  6. Step 6: Final answer
    x = 105,604.96

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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.