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Finding the Third Proportional to 6,024.94 and 12,975.05

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Solution

The third proportional to 6,024.94 and 12,975.05 is: 27,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.94 : 12,975.05 = 12,975.05 : x
  2. Step 2: Convert to fraction form
    6,024.94/12,975.05 = 12,975.05/x
  3. Step 3: Cross multiply
    6,024.94x = 12,975.05 × 12,975.05
  4. Step 4: Simplify right side
    6,024.94x = 168,351,841.41
  5. Step 5: Solve for x
    x = 168,351,841.41/6,024.94
  6. Step 6: Final answer
    x = 27,942.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.