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Finding the Third Proportional to 9,622.97 and 20,683.69

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Solution

The third proportional to 9,622.97 and 20,683.69 is: 44,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.97 : 20,683.69 = 20,683.69 : x
  2. Step 2: Convert to fraction form
    9,622.97/20,683.69 = 20,683.69/x
  3. Step 3: Cross multiply
    9,622.97x = 20,683.69 × 20,683.69
  4. Step 4: Simplify right side
    9,622.97x = 427,814,928.60
  5. Step 5: Solve for x
    x = 427,814,928.60/9,622.97
  6. Step 6: Final answer
    x = 44,457.69

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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.