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Finding the Third Proportional to 896.81 and 2,096.06

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Solution

The third proportional to 896.81 and 2,096.06 is: 4,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.81 : 2,096.06 = 2,096.06 : x
  2. Step 2: Convert to fraction form
    896.81/2,096.06 = 2,096.06/x
  3. Step 3: Cross multiply
    896.81x = 2,096.06 × 2,096.06
  4. Step 4: Simplify right side
    896.81x = 4,393,478.00
  5. Step 5: Solve for x
    x = 4,393,478.00/896.81
  6. Step 6: Final answer
    x = 4,898.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.