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Finding the Third Proportional to 5,273.15 and 8,175.62

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Solution

The third proportional to 5,273.15 and 8,175.62 is: 12,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.15 : 8,175.62 = 8,175.62 : x
  2. Step 2: Convert to fraction form
    5,273.15/8,175.62 = 8,175.62/x
  3. Step 3: Cross multiply
    5,273.15x = 8,175.62 × 8,175.62
  4. Step 4: Simplify right side
    5,273.15x = 66,840,780.27
  5. Step 5: Solve for x
    x = 66,840,780.27/5,273.15
  6. Step 6: Final answer
    x = 12,675.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.