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Finding the Third Proportional to 9,414 and 12,925

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Solution

The third proportional to 9,414 and 12,925 is: 17,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414 : 12,925 = 12,925 : x
  2. Step 2: Convert to fraction form
    9,414/12,925 = 12,925/x
  3. Step 3: Cross multiply
    9,414x = 12,925 × 12,925
  4. Step 4: Simplify right side
    9,414x = 167,055,625
  5. Step 5: Solve for x
    x = 167,055,625/9,414
  6. Step 6: Final answer
    x = 17,745.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.