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Finding the Third Proportional to 7,714 and 11,624

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Solution

The third proportional to 7,714 and 11,624 is: 17,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714 : 11,624 = 11,624 : x
  2. Step 2: Convert to fraction form
    7,714/11,624 = 11,624/x
  3. Step 3: Cross multiply
    7,714x = 11,624 × 11,624
  4. Step 4: Simplify right side
    7,714x = 135,117,376
  5. Step 5: Solve for x
    x = 135,117,376/7,714
  6. Step 6: Final answer
    x = 17,515.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.