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Finding the Third Proportional to 24,410 and 50,734

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Solution

The third proportional to 24,410 and 50,734 is: 105,446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410 : 50,734 = 50,734 : x
  2. Step 2: Convert to fraction form
    24,410/50,734 = 50,734/x
  3. Step 3: Cross multiply
    24,410x = 50,734 × 50,734
  4. Step 4: Simplify right side
    24,410x = 2,573,938,756
  5. Step 5: Solve for x
    x = 2,573,938,756/24,410
  6. Step 6: Final answer
    x = 105,446.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.