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Finding the Third Proportional to 6,197.06 and 12,082.78

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Solution

The third proportional to 6,197.06 and 12,082.78 is: 23,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.06 : 12,082.78 = 12,082.78 : x
  2. Step 2: Convert to fraction form
    6,197.06/12,082.78 = 12,082.78/x
  3. Step 3: Cross multiply
    6,197.06x = 12,082.78 × 12,082.78
  4. Step 4: Simplify right side
    6,197.06x = 145,993,602.74
  5. Step 5: Solve for x
    x = 145,993,602.74/6,197.06
  6. Step 6: Final answer
    x = 23,558.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.