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Finding the Third Proportional to 4,606 and 9,344

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Solution

The third proportional to 4,606 and 9,344 is: 18,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606 : 9,344 = 9,344 : x
  2. Step 2: Convert to fraction form
    4,606/9,344 = 9,344/x
  3. Step 3: Cross multiply
    4,606x = 9,344 × 9,344
  4. Step 4: Simplify right side
    4,606x = 87,310,336
  5. Step 5: Solve for x
    x = 87,310,336/4,606
  6. Step 6: Final answer
    x = 18,955.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.