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Finding the Third Proportional to 7,714 and 16,397

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Solution

The third proportional to 7,714 and 16,397 is: 34,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714 : 16,397 = 16,397 : x
  2. Step 2: Convert to fraction form
    7,714/16,397 = 16,397/x
  3. Step 3: Cross multiply
    7,714x = 16,397 × 16,397
  4. Step 4: Simplify right side
    7,714x = 268,861,609
  5. Step 5: Solve for x
    x = 268,861,609/7,714
  6. Step 6: Final answer
    x = 34,853.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.