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Finding the Third Proportional to 19,097.44 and 41,885.44

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Solution

The third proportional to 19,097.44 and 41,885.44 is: 91,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.44 : 41,885.44 = 41,885.44 : x
  2. Step 2: Convert to fraction form
    19,097.44/41,885.44 = 41,885.44/x
  3. Step 3: Cross multiply
    19,097.44x = 41,885.44 × 41,885.44
  4. Step 4: Simplify right side
    19,097.44x = 1,754,389,874.57
  5. Step 5: Solve for x
    x = 1,754,389,874.57/19,097.44
  6. Step 6: Final answer
    x = 91,865.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.