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Finding the Third Proportional to 3,316 and 7,767.50

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Solution

The third proportional to 3,316 and 7,767.50 is: 18,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316 : 7,767.50 = 7,767.50 : x
  2. Step 2: Convert to fraction form
    3,316/7,767.50 = 7,767.50/x
  3. Step 3: Cross multiply
    3,316x = 7,767.50 × 7,767.50
  4. Step 4: Simplify right side
    3,316x = 60,334,056.25
  5. Step 5: Solve for x
    x = 60,334,056.25/3,316
  6. Step 6: Final answer
    x = 18,194.83

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.