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Finding the Third Proportional to 1,806.47 and 2,697.89

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Solution

The third proportional to 1,806.47 and 2,697.89 is: 4,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.47 : 2,697.89 = 2,697.89 : x
  2. Step 2: Convert to fraction form
    1,806.47/2,697.89 = 2,697.89/x
  3. Step 3: Cross multiply
    1,806.47x = 2,697.89 × 2,697.89
  4. Step 4: Simplify right side
    1,806.47x = 7,278,613.82
  5. Step 5: Solve for x
    x = 7,278,613.82/1,806.47
  6. Step 6: Final answer
    x = 4,029.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.