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Finding the Third Proportional to 5,104.69 and 8,021.95

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Solution

The third proportional to 5,104.69 and 8,021.95 is: 12,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.69 : 8,021.95 = 8,021.95 : x
  2. Step 2: Convert to fraction form
    5,104.69/8,021.95 = 8,021.95/x
  3. Step 3: Cross multiply
    5,104.69x = 8,021.95 × 8,021.95
  4. Step 4: Simplify right side
    5,104.69x = 64,351,731.94
  5. Step 5: Solve for x
    x = 64,351,731.94/5,104.69
  6. Step 6: Final answer
    x = 12,606.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.