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Finding the Third Proportional to 19,097 and 41,015

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Solution

The third proportional to 19,097 and 41,015 is: 88,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097 : 41,015 = 41,015 : x
  2. Step 2: Convert to fraction form
    19,097/41,015 = 41,015/x
  3. Step 3: Cross multiply
    19,097x = 41,015 × 41,015
  4. Step 4: Simplify right side
    19,097x = 1,682,230,225
  5. Step 5: Solve for x
    x = 1,682,230,225/19,097
  6. Step 6: Final answer
    x = 88,088.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.