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Finding the Third Proportional to 13,194 and 19,759

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Solution

The third proportional to 13,194 and 19,759 is: 29,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 19,759 = 19,759 : x
  2. Step 2: Convert to fraction form
    13,194/19,759 = 19,759/x
  3. Step 3: Cross multiply
    13,194x = 19,759 × 19,759
  4. Step 4: Simplify right side
    13,194x = 390,418,081
  5. Step 5: Solve for x
    x = 390,418,081/13,194
  6. Step 6: Final answer
    x = 29,590.58

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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.