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Finding the Third Proportional to 6,497.44 and 9,804.94

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Solution

The third proportional to 6,497.44 and 9,804.94 is: 14,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.44 : 9,804.94 = 9,804.94 : x
  2. Step 2: Convert to fraction form
    6,497.44/9,804.94 = 9,804.94/x
  3. Step 3: Cross multiply
    6,497.44x = 9,804.94 × 9,804.94
  4. Step 4: Simplify right side
    6,497.44x = 96,136,799.38
  5. Step 5: Solve for x
    x = 96,136,799.38/6,497.44
  6. Step 6: Final answer
    x = 14,796.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.