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Finding the Third Proportional to 3,954.66 and 8,489.81

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Solution

The third proportional to 3,954.66 and 8,489.81 is: 18,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.66 : 8,489.81 = 8,489.81 : x
  2. Step 2: Convert to fraction form
    3,954.66/8,489.81 = 8,489.81/x
  3. Step 3: Cross multiply
    3,954.66x = 8,489.81 × 8,489.81
  4. Step 4: Simplify right side
    3,954.66x = 72,076,916.29
  5. Step 5: Solve for x
    x = 72,076,916.29/3,954.66
  6. Step 6: Final answer
    x = 18,225.84

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Why These Related Problems?

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