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Finding the Third Proportional to 7,782 and 11,910

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Solution

The third proportional to 7,782 and 11,910 is: 18,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 11,910 = 11,910 : x
  2. Step 2: Convert to fraction form
    7,782/11,910 = 11,910/x
  3. Step 3: Cross multiply
    7,782x = 11,910 × 11,910
  4. Step 4: Simplify right side
    7,782x = 141,848,100
  5. Step 5: Solve for x
    x = 141,848,100/7,782
  6. Step 6: Final answer
    x = 18,227.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.