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Finding the Third Proportional to 24,826 and 37,244

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Solution

The third proportional to 24,826 and 37,244 is: 55,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826 : 37,244 = 37,244 : x
  2. Step 2: Convert to fraction form
    24,826/37,244 = 37,244/x
  3. Step 3: Cross multiply
    24,826x = 37,244 × 37,244
  4. Step 4: Simplify right side
    24,826x = 1,387,115,536
  5. Step 5: Solve for x
    x = 1,387,115,536/24,826
  6. Step 6: Final answer
    x = 55,873.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.