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Finding the Third Proportional to 4,427.16 and 6,197.45

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Solution

The third proportional to 4,427.16 and 6,197.45 is: 8,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.16 : 6,197.45 = 6,197.45 : x
  2. Step 2: Convert to fraction form
    4,427.16/6,197.45 = 6,197.45/x
  3. Step 3: Cross multiply
    4,427.16x = 6,197.45 × 6,197.45
  4. Step 4: Simplify right side
    4,427.16x = 38,408,376.82
  5. Step 5: Solve for x
    x = 38,408,376.82/4,427.16
  6. Step 6: Final answer
    x = 8,675.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.