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Finding the Third Proportional to 12,786 and 19,446

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Solution

The third proportional to 12,786 and 19,446 is: 29,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 19,446 = 19,446 : x
  2. Step 2: Convert to fraction form
    12,786/19,446 = 19,446/x
  3. Step 3: Cross multiply
    12,786x = 19,446 × 19,446
  4. Step 4: Simplify right side
    12,786x = 378,146,916
  5. Step 5: Solve for x
    x = 378,146,916/12,786
  6. Step 6: Final answer
    x = 29,575.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.