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Finding the Third Proportional to 7,834 and 12,125

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Solution

The third proportional to 7,834 and 12,125 is: 18,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 12,125 = 12,125 : x
  2. Step 2: Convert to fraction form
    7,834/12,125 = 12,125/x
  3. Step 3: Cross multiply
    7,834x = 12,125 × 12,125
  4. Step 4: Simplify right side
    7,834x = 147,015,625
  5. Step 5: Solve for x
    x = 147,015,625/7,834
  6. Step 6: Final answer
    x = 18,766.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.