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Finding the Third Proportional to 2,745.56 and 4,217.06

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Solution

The third proportional to 2,745.56 and 4,217.06 is: 6,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.56 : 4,217.06 = 4,217.06 : x
  2. Step 2: Convert to fraction form
    2,745.56/4,217.06 = 4,217.06/x
  3. Step 3: Cross multiply
    2,745.56x = 4,217.06 × 4,217.06
  4. Step 4: Simplify right side
    2,745.56x = 17,783,616.13
  5. Step 5: Solve for x
    x = 17,783,616.13/2,745.56
  6. Step 6: Final answer
    x = 6,477.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.