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Finding the Third Proportional to 6,336.98 and 14,804.02

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Solution

The third proportional to 6,336.98 and 14,804.02 is: 34,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.98 : 14,804.02 = 14,804.02 : x
  2. Step 2: Convert to fraction form
    6,336.98/14,804.02 = 14,804.02/x
  3. Step 3: Cross multiply
    6,336.98x = 14,804.02 × 14,804.02
  4. Step 4: Simplify right side
    6,336.98x = 219,158,878.63
  5. Step 5: Solve for x
    x = 219,158,878.63/6,336.98
  6. Step 6: Final answer
    x = 34,584.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.