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Finding the Third Proportional to 17,536 and 19,408

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Solution

The third proportional to 17,536 and 19,408 is: 21,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536 : 19,408 = 19,408 : x
  2. Step 2: Convert to fraction form
    17,536/19,408 = 19,408/x
  3. Step 3: Cross multiply
    17,536x = 19,408 × 19,408
  4. Step 4: Simplify right side
    17,536x = 376,670,464
  5. Step 5: Solve for x
    x = 376,670,464/17,536
  6. Step 6: Final answer
    x = 21,479.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.