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Finding the Third Proportional to 1,485.56 and 2,089.69

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Solution

The third proportional to 1,485.56 and 2,089.69 is: 2,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.56 : 2,089.69 = 2,089.69 : x
  2. Step 2: Convert to fraction form
    1,485.56/2,089.69 = 2,089.69/x
  3. Step 3: Cross multiply
    1,485.56x = 2,089.69 × 2,089.69
  4. Step 4: Simplify right side
    1,485.56x = 4,366,793.85
  5. Step 5: Solve for x
    x = 4,366,793.85/1,485.56
  6. Step 6: Final answer
    x = 2,939.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.