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Finding the Third Proportional to 12,345 and 20,165

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Solution

The third proportional to 12,345 and 20,165 is: 32,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345 : 20,165 = 20,165 : x
  2. Step 2: Convert to fraction form
    12,345/20,165 = 20,165/x
  3. Step 3: Cross multiply
    12,345x = 20,165 × 20,165
  4. Step 4: Simplify right side
    12,345x = 406,627,225
  5. Step 5: Solve for x
    x = 406,627,225/12,345
  6. Step 6: Final answer
    x = 32,938.62

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.