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Finding the Third Proportional to 10,134 and 13,629

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Solution

The third proportional to 10,134 and 13,629 is: 18,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 13,629 = 13,629 : x
  2. Step 2: Convert to fraction form
    10,134/13,629 = 13,629/x
  3. Step 3: Cross multiply
    10,134x = 13,629 × 13,629
  4. Step 4: Simplify right side
    10,134x = 185,749,641
  5. Step 5: Solve for x
    x = 185,749,641/10,134
  6. Step 6: Final answer
    x = 18,329.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.