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Finding the Third Proportional to 1,789.17 and 2,736.70

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Solution

The third proportional to 1,789.17 and 2,736.70 is: 4,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.17 : 2,736.70 = 2,736.70 : x
  2. Step 2: Convert to fraction form
    1,789.17/2,736.70 = 2,736.70/x
  3. Step 3: Cross multiply
    1,789.17x = 2,736.70 × 2,736.70
  4. Step 4: Simplify right side
    1,789.17x = 7,489,543.99
  5. Step 5: Solve for x
    x = 7,489,543.99/1,789.17
  6. Step 6: Final answer
    x = 4,186.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.