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Finding the Third Proportional to 13,690 and 19,074

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Solution

The third proportional to 13,690 and 19,074 is: 26,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690 : 19,074 = 19,074 : x
  2. Step 2: Convert to fraction form
    13,690/19,074 = 19,074/x
  3. Step 3: Cross multiply
    13,690x = 19,074 × 19,074
  4. Step 4: Simplify right side
    13,690x = 363,817,476
  5. Step 5: Solve for x
    x = 363,817,476/13,690
  6. Step 6: Final answer
    x = 26,575.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.