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Finding the Third Proportional to 10,329 and 12,165

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Solution

The third proportional to 10,329 and 12,165 is: 14,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329 : 12,165 = 12,165 : x
  2. Step 2: Convert to fraction form
    10,329/12,165 = 12,165/x
  3. Step 3: Cross multiply
    10,329x = 12,165 × 12,165
  4. Step 4: Simplify right side
    10,329x = 147,987,225
  5. Step 5: Solve for x
    x = 147,987,225/10,329
  6. Step 6: Final answer
    x = 14,327.35

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.