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Finding the Third Proportional to 5,945.06 and 8,307.98

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Solution

The third proportional to 5,945.06 and 8,307.98 is: 11,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.06 : 8,307.98 = 8,307.98 : x
  2. Step 2: Convert to fraction form
    5,945.06/8,307.98 = 8,307.98/x
  3. Step 3: Cross multiply
    5,945.06x = 8,307.98 × 8,307.98
  4. Step 4: Simplify right side
    5,945.06x = 69,022,604.38
  5. Step 5: Solve for x
    x = 69,022,604.38/5,945.06
  6. Step 6: Final answer
    x = 11,610.07

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