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Finding the Third Proportional to 6,707.25 and 10,636.31

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Solution

The third proportional to 6,707.25 and 10,636.31 is: 16,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.25 : 10,636.31 = 10,636.31 : x
  2. Step 2: Convert to fraction form
    6,707.25/10,636.31 = 10,636.31/x
  3. Step 3: Cross multiply
    6,707.25x = 10,636.31 × 10,636.31
  4. Step 4: Simplify right side
    6,707.25x = 113,131,143.60
  5. Step 5: Solve for x
    x = 113,131,143.60/6,707.25
  6. Step 6: Final answer
    x = 16,866.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.