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Finding the Third Proportional to 481.50 and 1,133.16

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Solution

The third proportional to 481.50 and 1,133.16 is: 2,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.50 : 1,133.16 = 1,133.16 : x
  2. Step 2: Convert to fraction form
    481.50/1,133.16 = 1,133.16/x
  3. Step 3: Cross multiply
    481.50x = 1,133.16 × 1,133.16
  4. Step 4: Simplify right side
    481.50x = 1,284,043.09
  5. Step 5: Solve for x
    x = 1,284,043.09/481.50
  6. Step 6: Final answer
    x = 2,666.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.