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Finding the Third Proportional to 2,082 and 5,133

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Solution

The third proportional to 2,082 and 5,133 is: 12,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082 : 5,133 = 5,133 : x
  2. Step 2: Convert to fraction form
    2,082/5,133 = 5,133/x
  3. Step 3: Cross multiply
    2,082x = 5,133 × 5,133
  4. Step 4: Simplify right side
    2,082x = 26,347,689
  5. Step 5: Solve for x
    x = 26,347,689/2,082
  6. Step 6: Final answer
    x = 12,654.99

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.