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Finding the Third Proportional to 19,114.50 and 39,078.75

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Solution

The third proportional to 19,114.50 and 39,078.75 is: 79,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.50 : 39,078.75 = 39,078.75 : x
  2. Step 2: Convert to fraction form
    19,114.50/39,078.75 = 39,078.75/x
  3. Step 3: Cross multiply
    19,114.50x = 39,078.75 × 39,078.75
  4. Step 4: Simplify right side
    19,114.50x = 1,527,148,701.56
  5. Step 5: Solve for x
    x = 1,527,148,701.56/19,114.50
  6. Step 6: Final answer
    x = 79,894.78

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.