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Finding the Third Proportional to 3,946 and 9,397

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Solution

The third proportional to 3,946 and 9,397 is: 22,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946 : 9,397 = 9,397 : x
  2. Step 2: Convert to fraction form
    3,946/9,397 = 9,397/x
  3. Step 3: Cross multiply
    3,946x = 9,397 × 9,397
  4. Step 4: Simplify right side
    3,946x = 88,303,609
  5. Step 5: Solve for x
    x = 88,303,609/3,946
  6. Step 6: Final answer
    x = 22,378.01

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.