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Finding the Third Proportional to 7,225.22 and 11,539.42

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Solution

The third proportional to 7,225.22 and 11,539.42 is: 18,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.22 : 11,539.42 = 11,539.42 : x
  2. Step 2: Convert to fraction form
    7,225.22/11,539.42 = 11,539.42/x
  3. Step 3: Cross multiply
    7,225.22x = 11,539.42 × 11,539.42
  4. Step 4: Simplify right side
    7,225.22x = 133,158,099.44
  5. Step 5: Solve for x
    x = 133,158,099.44/7,225.22
  6. Step 6: Final answer
    x = 18,429.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.