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Finding the Third Proportional to 3,672.84 and 8,659.41

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Solution

The third proportional to 3,672.84 and 8,659.41 is: 20,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.84 : 8,659.41 = 8,659.41 : x
  2. Step 2: Convert to fraction form
    3,672.84/8,659.41 = 8,659.41/x
  3. Step 3: Cross multiply
    3,672.84x = 8,659.41 × 8,659.41
  4. Step 4: Simplify right side
    3,672.84x = 74,985,316.60
  5. Step 5: Solve for x
    x = 74,985,316.60/3,672.84
  6. Step 6: Final answer
    x = 20,416.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.