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Finding the Third Proportional to 3,047.63 and 6,339.94

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Solution

The third proportional to 3,047.63 and 6,339.94 is: 13,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.63 : 6,339.94 = 6,339.94 : x
  2. Step 2: Convert to fraction form
    3,047.63/6,339.94 = 6,339.94/x
  3. Step 3: Cross multiply
    3,047.63x = 6,339.94 × 6,339.94
  4. Step 4: Simplify right side
    3,047.63x = 40,194,807.50
  5. Step 5: Solve for x
    x = 40,194,807.50/3,047.63
  6. Step 6: Final answer
    x = 13,188.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.