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Finding the Third Proportional to 19,200 and 29,199

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Solution

The third proportional to 19,200 and 29,199 is: 44,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 29,199 = 29,199 : x
  2. Step 2: Convert to fraction form
    19,200/29,199 = 29,199/x
  3. Step 3: Cross multiply
    19,200x = 29,199 × 29,199
  4. Step 4: Simplify right side
    19,200x = 852,581,601
  5. Step 5: Solve for x
    x = 852,581,601/19,200
  6. Step 6: Final answer
    x = 44,405.29

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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.