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Finding the Third Proportional to 1,663.08 and 2,771.70

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Solution

The third proportional to 1,663.08 and 2,771.70 is: 4,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.08 : 2,771.70 = 2,771.70 : x
  2. Step 2: Convert to fraction form
    1,663.08/2,771.70 = 2,771.70/x
  3. Step 3: Cross multiply
    1,663.08x = 2,771.70 × 2,771.70
  4. Step 4: Simplify right side
    1,663.08x = 7,682,294.91
  5. Step 5: Solve for x
    x = 7,682,294.91/1,663.08
  6. Step 6: Final answer
    x = 4,619.32

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.