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Finding the Third Proportional to 19,511 and 41,344

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Solution

The third proportional to 19,511 and 41,344 is: 87,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511 : 41,344 = 41,344 : x
  2. Step 2: Convert to fraction form
    19,511/41,344 = 41,344/x
  3. Step 3: Cross multiply
    19,511x = 41,344 × 41,344
  4. Step 4: Simplify right side
    19,511x = 1,709,326,336
  5. Step 5: Solve for x
    x = 1,709,326,336/19,511
  6. Step 6: Final answer
    x = 87,608.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.