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Finding the Third Proportional to 883.09 and 1,912.99

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Solution

The third proportional to 883.09 and 1,912.99 is: 4,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.09 : 1,912.99 = 1,912.99 : x
  2. Step 2: Convert to fraction form
    883.09/1,912.99 = 1,912.99/x
  3. Step 3: Cross multiply
    883.09x = 1,912.99 × 1,912.99
  4. Step 4: Simplify right side
    883.09x = 3,659,539.11
  5. Step 5: Solve for x
    x = 3,659,539.11/883.09
  6. Step 6: Final answer
    x = 4,144.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.