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Finding the Third Proportional to 2,745.19 and 6,037.06

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Solution

The third proportional to 2,745.19 and 6,037.06 is: 13,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.19 : 6,037.06 = 6,037.06 : x
  2. Step 2: Convert to fraction form
    2,745.19/6,037.06 = 6,037.06/x
  3. Step 3: Cross multiply
    2,745.19x = 6,037.06 × 6,037.06
  4. Step 4: Simplify right side
    2,745.19x = 36,446,123.63
  5. Step 5: Solve for x
    x = 36,446,123.63/2,745.19
  6. Step 6: Final answer
    x = 13,276.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.