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Finding the Third Proportional to 14,831 and 32,226

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Solution

The third proportional to 14,831 and 32,226 is: 70,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831 : 32,226 = 32,226 : x
  2. Step 2: Convert to fraction form
    14,831/32,226 = 32,226/x
  3. Step 3: Cross multiply
    14,831x = 32,226 × 32,226
  4. Step 4: Simplify right side
    14,831x = 1,038,515,076
  5. Step 5: Solve for x
    x = 1,038,515,076/14,831
  6. Step 6: Final answer
    x = 70,023.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.