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Finding the Third Proportional to 19,036 and 41,868.50

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Solution

The third proportional to 19,036 and 41,868.50 is: 92,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,036 : 41,868.50 = 41,868.50 : x
  2. Step 2: Convert to fraction form
    19,036/41,868.50 = 41,868.50/x
  3. Step 3: Cross multiply
    19,036x = 41,868.50 × 41,868.50
  4. Step 4: Simplify right side
    19,036x = 1,752,971,292.25
  5. Step 5: Solve for x
    x = 1,752,971,292.25/19,036
  6. Step 6: Final answer
    x = 92,087.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.