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Finding the Third Proportional to 1,806.84 and 2,729.48

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Solution

The third proportional to 1,806.84 and 2,729.48 is: 4,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.84 : 2,729.48 = 2,729.48 : x
  2. Step 2: Convert to fraction form
    1,806.84/2,729.48 = 2,729.48/x
  3. Step 3: Cross multiply
    1,806.84x = 2,729.48 × 2,729.48
  4. Step 4: Simplify right side
    1,806.84x = 7,450,052.97
  5. Step 5: Solve for x
    x = 7,450,052.97/1,806.84
  6. Step 6: Final answer
    x = 4,123.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.