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Finding the Third Proportional to 7,314 and 11,779

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Solution

The third proportional to 7,314 and 11,779 is: 18,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 11,779 = 11,779 : x
  2. Step 2: Convert to fraction form
    7,314/11,779 = 11,779/x
  3. Step 3: Cross multiply
    7,314x = 11,779 × 11,779
  4. Step 4: Simplify right side
    7,314x = 138,744,841
  5. Step 5: Solve for x
    x = 138,744,841/7,314
  6. Step 6: Final answer
    x = 18,969.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.