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Finding the Third Proportional to 12,529.69 and 24,740.44

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Solution

The third proportional to 12,529.69 and 24,740.44 is: 48,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.69 : 24,740.44 = 24,740.44 : x
  2. Step 2: Convert to fraction form
    12,529.69/24,740.44 = 24,740.44/x
  3. Step 3: Cross multiply
    12,529.69x = 24,740.44 × 24,740.44
  4. Step 4: Simplify right side
    12,529.69x = 612,089,247.69
  5. Step 5: Solve for x
    x = 612,089,247.69/12,529.69
  6. Step 6: Final answer
    x = 48,851.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.