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Finding the Third Proportional to 6,397 and 9,818

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Solution

The third proportional to 6,397 and 9,818 is: 15,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 9,818 = 9,818 : x
  2. Step 2: Convert to fraction form
    6,397/9,818 = 9,818/x
  3. Step 3: Cross multiply
    6,397x = 9,818 × 9,818
  4. Step 4: Simplify right side
    6,397x = 96,393,124
  5. Step 5: Solve for x
    x = 96,393,124/6,397
  6. Step 6: Final answer
    x = 15,068.49

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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.