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Finding the Third Proportional to 19,097 and 41,379.50

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Solution

The third proportional to 19,097 and 41,379.50 is: 89,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097 : 41,379.50 = 41,379.50 : x
  2. Step 2: Convert to fraction form
    19,097/41,379.50 = 41,379.50/x
  3. Step 3: Cross multiply
    19,097x = 41,379.50 × 41,379.50
  4. Step 4: Simplify right side
    19,097x = 1,712,263,020.25
  5. Step 5: Solve for x
    x = 1,712,263,020.25/19,097
  6. Step 6: Final answer
    x = 89,661.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.