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Finding the Third Proportional to 23,014 and 34,197

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Solution

The third proportional to 23,014 and 34,197 is: 50,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014 : 34,197 = 34,197 : x
  2. Step 2: Convert to fraction form
    23,014/34,197 = 34,197/x
  3. Step 3: Cross multiply
    23,014x = 34,197 × 34,197
  4. Step 4: Simplify right side
    23,014x = 1,169,434,809
  5. Step 5: Solve for x
    x = 1,169,434,809/23,014
  6. Step 6: Final answer
    x = 50,814.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.