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Finding the Third Proportional to 6,941.63 and 11,040.38

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Solution

The third proportional to 6,941.63 and 11,040.38 is: 17,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.63 : 11,040.38 = 11,040.38 : x
  2. Step 2: Convert to fraction form
    6,941.63/11,040.38 = 11,040.38/x
  3. Step 3: Cross multiply
    6,941.63x = 11,040.38 × 11,040.38
  4. Step 4: Simplify right side
    6,941.63x = 121,889,880.14
  5. Step 5: Solve for x
    x = 121,889,880.14/6,941.63
  6. Step 6: Final answer
    x = 17,559.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.