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Finding the Third Proportional to 24,659 and 52,894

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Solution

The third proportional to 24,659 and 52,894 is: 113,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659 : 52,894 = 52,894 : x
  2. Step 2: Convert to fraction form
    24,659/52,894 = 52,894/x
  3. Step 3: Cross multiply
    24,659x = 52,894 × 52,894
  4. Step 4: Simplify right side
    24,659x = 2,797,775,236
  5. Step 5: Solve for x
    x = 2,797,775,236/24,659
  6. Step 6: Final answer
    x = 113,458.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.