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Finding the Third Proportional to 24,767 and 37,268

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Solution

The third proportional to 24,767 and 37,268 is: 56,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767 : 37,268 = 37,268 : x
  2. Step 2: Convert to fraction form
    24,767/37,268 = 37,268/x
  3. Step 3: Cross multiply
    24,767x = 37,268 × 37,268
  4. Step 4: Simplify right side
    24,767x = 1,388,903,824
  5. Step 5: Solve for x
    x = 1,388,903,824/24,767
  6. Step 6: Final answer
    x = 56,078.81

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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.