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Finding the Third Proportional to 12,393 and 18,604.13

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Solution

The third proportional to 12,393 and 18,604.13 is: 27,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393 : 18,604.13 = 18,604.13 : x
  2. Step 2: Convert to fraction form
    12,393/18,604.13 = 18,604.13/x
  3. Step 3: Cross multiply
    12,393x = 18,604.13 × 18,604.13
  4. Step 4: Simplify right side
    12,393x = 346,113,467.02
  5. Step 5: Solve for x
    x = 346,113,467.02/12,393
  6. Step 6: Final answer
    x = 27,928.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.