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Finding the Third Proportional to 4,214 and 7,375

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Solution

The third proportional to 4,214 and 7,375 is: 12,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214 : 7,375 = 7,375 : x
  2. Step 2: Convert to fraction form
    4,214/7,375 = 7,375/x
  3. Step 3: Cross multiply
    4,214x = 7,375 × 7,375
  4. Step 4: Simplify right side
    4,214x = 54,390,625
  5. Step 5: Solve for x
    x = 54,390,625/4,214
  6. Step 6: Final answer
    x = 12,907.13

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.