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Finding the Third Proportional to 1,845.70 and 4,097.67

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Solution

The third proportional to 1,845.70 and 4,097.67 is: 9,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.70 : 4,097.67 = 4,097.67 : x
  2. Step 2: Convert to fraction form
    1,845.70/4,097.67 = 4,097.67/x
  3. Step 3: Cross multiply
    1,845.70x = 4,097.67 × 4,097.67
  4. Step 4: Simplify right side
    1,845.70x = 16,790,914.80
  5. Step 5: Solve for x
    x = 16,790,914.80/1,845.70
  6. Step 6: Final answer
    x = 9,097.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.