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Finding the Third Proportional to 4,197.38 and 6,427.69

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Solution

The third proportional to 4,197.38 and 6,427.69 is: 9,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.38 : 6,427.69 = 6,427.69 : x
  2. Step 2: Convert to fraction form
    4,197.38/6,427.69 = 6,427.69/x
  3. Step 3: Cross multiply
    4,197.38x = 6,427.69 × 6,427.69
  4. Step 4: Simplify right side
    4,197.38x = 41,315,166.60
  5. Step 5: Solve for x
    x = 41,315,166.60/4,197.38
  6. Step 6: Final answer
    x = 9,843.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.