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Finding the Third Proportional to 3,133 and 3,983.50

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Solution

The third proportional to 3,133 and 3,983.50 is: 5,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133 : 3,983.50 = 3,983.50 : x
  2. Step 2: Convert to fraction form
    3,133/3,983.50 = 3,983.50/x
  3. Step 3: Cross multiply
    3,133x = 3,983.50 × 3,983.50
  4. Step 4: Simplify right side
    3,133x = 15,868,272.25
  5. Step 5: Solve for x
    x = 15,868,272.25/3,133
  6. Step 6: Final answer
    x = 5,064.88

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.