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Finding the Third Proportional to 7,696.50 and 8,911.50

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Solution

The third proportional to 7,696.50 and 8,911.50 is: 10,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.50 : 8,911.50 = 8,911.50 : x
  2. Step 2: Convert to fraction form
    7,696.50/8,911.50 = 8,911.50/x
  3. Step 3: Cross multiply
    7,696.50x = 8,911.50 × 8,911.50
  4. Step 4: Simplify right side
    7,696.50x = 79,414,832.25
  5. Step 5: Solve for x
    x = 79,414,832.25/7,696.50
  6. Step 6: Final answer
    x = 10,318.30

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.