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Finding the Third Proportional to 3,941.16 and 8,492.34

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Solution

The third proportional to 3,941.16 and 8,492.34 is: 18,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.16 : 8,492.34 = 8,492.34 : x
  2. Step 2: Convert to fraction form
    3,941.16/8,492.34 = 8,492.34/x
  3. Step 3: Cross multiply
    3,941.16x = 8,492.34 × 8,492.34
  4. Step 4: Simplify right side
    3,941.16x = 72,119,902.37
  5. Step 5: Solve for x
    x = 72,119,902.37/3,941.16
  6. Step 6: Final answer
    x = 18,299.17

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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.