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Finding the Third Proportional to 6,804.47 and 14,618.09

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Solution

The third proportional to 6,804.47 and 14,618.09 is: 31,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.47 : 14,618.09 = 14,618.09 : x
  2. Step 2: Convert to fraction form
    6,804.47/14,618.09 = 14,618.09/x
  3. Step 3: Cross multiply
    6,804.47x = 14,618.09 × 14,618.09
  4. Step 4: Simplify right side
    6,804.47x = 213,688,479.30
  5. Step 5: Solve for x
    x = 213,688,479.30/6,804.47
  6. Step 6: Final answer
    x = 31,404.11

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