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Finding the Third Proportional to 24,814 and 37,226

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Solution

The third proportional to 24,814 and 37,226 is: 55,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814 : 37,226 = 37,226 : x
  2. Step 2: Convert to fraction form
    24,814/37,226 = 37,226/x
  3. Step 3: Cross multiply
    24,814x = 37,226 × 37,226
  4. Step 4: Simplify right side
    24,814x = 1,385,775,076
  5. Step 5: Solve for x
    x = 1,385,775,076/24,814
  6. Step 6: Final answer
    x = 55,846.50

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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.