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Finding the Third Proportional to 14,662.50 and 35,441.25

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Solution

The third proportional to 14,662.50 and 35,441.25 is: 85,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.50 : 35,441.25 = 35,441.25 : x
  2. Step 2: Convert to fraction form
    14,662.50/35,441.25 = 35,441.25/x
  3. Step 3: Cross multiply
    14,662.50x = 35,441.25 × 35,441.25
  4. Step 4: Simplify right side
    14,662.50x = 1,256,082,201.56
  5. Step 5: Solve for x
    x = 1,256,082,201.56/14,662.50
  6. Step 6: Final answer
    x = 85,666.31

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.