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Finding the Third Proportional to 1,662.56 and 3,495.94

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Solution

The third proportional to 1,662.56 and 3,495.94 is: 7,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.56 : 3,495.94 = 3,495.94 : x
  2. Step 2: Convert to fraction form
    1,662.56/3,495.94 = 3,495.94/x
  3. Step 3: Cross multiply
    1,662.56x = 3,495.94 × 3,495.94
  4. Step 4: Simplify right side
    1,662.56x = 12,221,579.00
  5. Step 5: Solve for x
    x = 12,221,579.00/1,662.56
  6. Step 6: Final answer
    x = 7,351.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.