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Finding the Third Proportional to 6,735.66 and 14,202.21

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Solution

The third proportional to 6,735.66 and 14,202.21 is: 29,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.66 : 14,202.21 = 14,202.21 : x
  2. Step 2: Convert to fraction form
    6,735.66/14,202.21 = 14,202.21/x
  3. Step 3: Cross multiply
    6,735.66x = 14,202.21 × 14,202.21
  4. Step 4: Simplify right side
    6,735.66x = 201,702,795.51
  5. Step 5: Solve for x
    x = 201,702,795.51/6,735.66
  6. Step 6: Final answer
    x = 29,945.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.