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Finding the Third Proportional to 4,654.97 and 9,640.27

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Solution

The third proportional to 4,654.97 and 9,640.27 is: 19,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.97 : 9,640.27 = 9,640.27 : x
  2. Step 2: Convert to fraction form
    4,654.97/9,640.27 = 9,640.27/x
  3. Step 3: Cross multiply
    4,654.97x = 9,640.27 × 9,640.27
  4. Step 4: Simplify right side
    4,654.97x = 92,934,721.32
  5. Step 5: Solve for x
    x = 92,934,721.32/4,654.97
  6. Step 6: Final answer
    x = 19,964.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.