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Finding the Third Proportional to 5,739.19 and 12,168.56

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Solution

The third proportional to 5,739.19 and 12,168.56 is: 25,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.19 : 12,168.56 = 12,168.56 : x
  2. Step 2: Convert to fraction form
    5,739.19/12,168.56 = 12,168.56/x
  3. Step 3: Cross multiply
    5,739.19x = 12,168.56 × 12,168.56
  4. Step 4: Simplify right side
    5,739.19x = 148,073,913.32
  5. Step 5: Solve for x
    x = 148,073,913.32/5,739.19
  6. Step 6: Final answer
    x = 25,800.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.