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Finding the Third Proportional to 9,100 and 14,274

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Solution

The third proportional to 9,100 and 14,274 is: 22,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100 : 14,274 = 14,274 : x
  2. Step 2: Convert to fraction form
    9,100/14,274 = 14,274/x
  3. Step 3: Cross multiply
    9,100x = 14,274 × 14,274
  4. Step 4: Simplify right side
    9,100x = 203,747,076
  5. Step 5: Solve for x
    x = 203,747,076/9,100
  6. Step 6: Final answer
    x = 22,389.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.