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Finding the Third Proportional to 890.56 and 1,902.56

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Solution

The third proportional to 890.56 and 1,902.56 is: 4,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.56 : 1,902.56 = 1,902.56 : x
  2. Step 2: Convert to fraction form
    890.56/1,902.56 = 1,902.56/x
  3. Step 3: Cross multiply
    890.56x = 1,902.56 × 1,902.56
  4. Step 4: Simplify right side
    890.56x = 3,619,744.07
  5. Step 5: Solve for x
    x = 3,619,744.07/890.56
  6. Step 6: Final answer
    x = 4,064.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.