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Finding the Third Proportional to 4,107 and 4,629

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Solution

The third proportional to 4,107 and 4,629 is: 5,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107 : 4,629 = 4,629 : x
  2. Step 2: Convert to fraction form
    4,107/4,629 = 4,629/x
  3. Step 3: Cross multiply
    4,107x = 4,629 × 4,629
  4. Step 4: Simplify right side
    4,107x = 21,427,641
  5. Step 5: Solve for x
    x = 21,427,641/4,107
  6. Step 6: Final answer
    x = 5,217.35

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.