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Finding the Third Proportional to 3,684.75 and 8,056.88

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Solution

The third proportional to 3,684.75 and 8,056.88 is: 17,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.75 : 8,056.88 = 8,056.88 : x
  2. Step 2: Convert to fraction form
    3,684.75/8,056.88 = 8,056.88/x
  3. Step 3: Cross multiply
    3,684.75x = 8,056.88 × 8,056.88
  4. Step 4: Simplify right side
    3,684.75x = 64,913,234.77
  5. Step 5: Solve for x
    x = 64,913,234.77/3,684.75
  6. Step 6: Final answer
    x = 17,616.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.