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Finding the Third Proportional to 12,909 and 27,369

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Solution

The third proportional to 12,909 and 27,369 is: 58,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909 : 27,369 = 27,369 : x
  2. Step 2: Convert to fraction form
    12,909/27,369 = 27,369/x
  3. Step 3: Cross multiply
    12,909x = 27,369 × 27,369
  4. Step 4: Simplify right side
    12,909x = 749,062,161
  5. Step 5: Solve for x
    x = 749,062,161/12,909
  6. Step 6: Final answer
    x = 58,026.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.