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Finding the Third Proportional to 12,409.88 and 24,192.84

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Solution

The third proportional to 12,409.88 and 24,192.84 is: 47,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.88 : 24,192.84 = 24,192.84 : x
  2. Step 2: Convert to fraction form
    12,409.88/24,192.84 = 24,192.84/x
  3. Step 3: Cross multiply
    12,409.88x = 24,192.84 × 24,192.84
  4. Step 4: Simplify right side
    12,409.88x = 585,293,688.71
  5. Step 5: Solve for x
    x = 585,293,688.71/12,409.88
  6. Step 6: Final answer
    x = 47,163.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.