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Finding the Third Proportional to 4,654 and 9,398

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Solution

The third proportional to 4,654 and 9,398 is: 18,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654 : 9,398 = 9,398 : x
  2. Step 2: Convert to fraction form
    4,654/9,398 = 9,398/x
  3. Step 3: Cross multiply
    4,654x = 9,398 × 9,398
  4. Step 4: Simplify right side
    4,654x = 88,322,404
  5. Step 5: Solve for x
    x = 88,322,404/4,654
  6. Step 6: Final answer
    x = 18,977.74

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.