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Finding the Third Proportional to 5,751.42 and 12,409.03

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Solution

The third proportional to 5,751.42 and 12,409.03 is: 26,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.42 : 12,409.03 = 12,409.03 : x
  2. Step 2: Convert to fraction form
    5,751.42/12,409.03 = 12,409.03/x
  3. Step 3: Cross multiply
    5,751.42x = 12,409.03 × 12,409.03
  4. Step 4: Simplify right side
    5,751.42x = 153,984,056.56
  5. Step 5: Solve for x
    x = 153,984,056.56/5,751.42
  6. Step 6: Final answer
    x = 26,773.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.