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Finding the Third Proportional to 12,078 and 19,797

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Solution

The third proportional to 12,078 and 19,797 is: 32,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 19,797 = 19,797 : x
  2. Step 2: Convert to fraction form
    12,078/19,797 = 19,797/x
  3. Step 3: Cross multiply
    12,078x = 19,797 × 19,797
  4. Step 4: Simplify right side
    12,078x = 391,921,209
  5. Step 5: Solve for x
    x = 391,921,209/12,078
  6. Step 6: Final answer
    x = 32,449.18

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.