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Finding the Third Proportional to 4,097 and 9,629

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Solution

The third proportional to 4,097 and 9,629 is: 22,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097 : 9,629 = 9,629 : x
  2. Step 2: Convert to fraction form
    4,097/9,629 = 9,629/x
  3. Step 3: Cross multiply
    4,097x = 9,629 × 9,629
  4. Step 4: Simplify right side
    4,097x = 92,717,641
  5. Step 5: Solve for x
    x = 92,717,641/4,097
  6. Step 6: Final answer
    x = 22,630.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.