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Finding the Third Proportional to 9,470 and 14,225

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Solution

The third proportional to 9,470 and 14,225 is: 21,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470 : 14,225 = 14,225 : x
  2. Step 2: Convert to fraction form
    9,470/14,225 = 14,225/x
  3. Step 3: Cross multiply
    9,470x = 14,225 × 14,225
  4. Step 4: Simplify right side
    9,470x = 202,350,625
  5. Step 5: Solve for x
    x = 202,350,625/9,470
  6. Step 6: Final answer
    x = 21,367.54

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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.