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Finding the Third Proportional to 7,147.41 and 10,773.84

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Solution

The third proportional to 7,147.41 and 10,773.84 is: 16,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.41 : 10,773.84 = 10,773.84 : x
  2. Step 2: Convert to fraction form
    7,147.41/10,773.84 = 10,773.84/x
  3. Step 3: Cross multiply
    7,147.41x = 10,773.84 × 10,773.84
  4. Step 4: Simplify right side
    7,147.41x = 116,075,709.15
  5. Step 5: Solve for x
    x = 116,075,709.15/7,147.41
  6. Step 6: Final answer
    x = 16,240.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.