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Finding the Third Proportional to 3,588.47 and 7,696.05

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Solution

The third proportional to 3,588.47 and 7,696.05 is: 16,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.47 : 7,696.05 = 7,696.05 : x
  2. Step 2: Convert to fraction form
    3,588.47/7,696.05 = 7,696.05/x
  3. Step 3: Cross multiply
    3,588.47x = 7,696.05 × 7,696.05
  4. Step 4: Simplify right side
    3,588.47x = 59,229,257.75
  5. Step 5: Solve for x
    x = 59,229,257.75/3,588.47
  6. Step 6: Final answer
    x = 16,505.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.