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Finding the Third Proportional to 22,634 and 34,157

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Solution

The third proportional to 22,634 and 34,157 is: 51,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634 : 34,157 = 34,157 : x
  2. Step 2: Convert to fraction form
    22,634/34,157 = 34,157/x
  3. Step 3: Cross multiply
    22,634x = 34,157 × 34,157
  4. Step 4: Simplify right side
    22,634x = 1,166,700,649
  5. Step 5: Solve for x
    x = 1,166,700,649/22,634
  6. Step 6: Final answer
    x = 51,546.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.