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Finding the Third Proportional to 9,766.69 and 21,016.41

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Solution

The third proportional to 9,766.69 and 21,016.41 is: 45,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.69 : 21,016.41 = 21,016.41 : x
  2. Step 2: Convert to fraction form
    9,766.69/21,016.41 = 21,016.41/x
  3. Step 3: Cross multiply
    9,766.69x = 21,016.41 × 21,016.41
  4. Step 4: Simplify right side
    9,766.69x = 441,689,331.67
  5. Step 5: Solve for x
    x = 441,689,331.67/9,766.69
  6. Step 6: Final answer
    x = 45,224.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.