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Finding the Third Proportional to 1,892.53 and 3,861.80

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Solution

The third proportional to 1,892.53 and 3,861.80 is: 7,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.53 : 3,861.80 = 3,861.80 : x
  2. Step 2: Convert to fraction form
    1,892.53/3,861.80 = 3,861.80/x
  3. Step 3: Cross multiply
    1,892.53x = 3,861.80 × 3,861.80
  4. Step 4: Simplify right side
    1,892.53x = 14,913,475.10
  5. Step 5: Solve for x
    x = 14,913,475.10/1,892.53
  6. Step 6: Final answer
    x = 7,880.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.