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Finding the Third Proportional to 6,553.41 and 16,284.80

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Solution

The third proportional to 6,553.41 and 16,284.80 is: 40,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.41 : 16,284.80 = 16,284.80 : x
  2. Step 2: Convert to fraction form
    6,553.41/16,284.80 = 16,284.80/x
  3. Step 3: Cross multiply
    6,553.41x = 16,284.80 × 16,284.80
  4. Step 4: Simplify right side
    6,553.41x = 265,194,609.26
  5. Step 5: Solve for x
    x = 265,194,609.26/6,553.41
  6. Step 6: Final answer
    x = 40,466.68

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.