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Finding the Third Proportional to 23,199 and 41,790

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Solution

The third proportional to 23,199 and 41,790 is: 75,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199 : 41,790 = 41,790 : x
  2. Step 2: Convert to fraction form
    23,199/41,790 = 41,790/x
  3. Step 3: Cross multiply
    23,199x = 41,790 × 41,790
  4. Step 4: Simplify right side
    23,199x = 1,746,404,100
  5. Step 5: Solve for x
    x = 1,746,404,100/23,199
  6. Step 6: Final answer
    x = 75,279.28

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.