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Finding the Third Proportional to 3,974.06 and 6,291.42

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Solution

The third proportional to 3,974.06 and 6,291.42 is: 9,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.06 : 6,291.42 = 6,291.42 : x
  2. Step 2: Convert to fraction form
    3,974.06/6,291.42 = 6,291.42/x
  3. Step 3: Cross multiply
    3,974.06x = 6,291.42 × 6,291.42
  4. Step 4: Simplify right side
    3,974.06x = 39,581,989.21
  5. Step 5: Solve for x
    x = 39,581,989.21/3,974.06
  6. Step 6: Final answer
    x = 9,960.08

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.