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Finding the Third Proportional to 19,422.75 and 41,677.50

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Solution

The third proportional to 19,422.75 and 41,677.50 is: 89,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422.75 : 41,677.50 = 41,677.50 : x
  2. Step 2: Convert to fraction form
    19,422.75/41,677.50 = 41,677.50/x
  3. Step 3: Cross multiply
    19,422.75x = 41,677.50 × 41,677.50
  4. Step 4: Simplify right side
    19,422.75x = 1,737,014,006.25
  5. Step 5: Solve for x
    x = 1,737,014,006.25/19,422.75
  6. Step 6: Final answer
    x = 89,431.93

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