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Finding the Third Proportional to 13,082 and 19,739

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Solution

The third proportional to 13,082 and 19,739 is: 29,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082 : 19,739 = 19,739 : x
  2. Step 2: Convert to fraction form
    13,082/19,739 = 19,739/x
  3. Step 3: Cross multiply
    13,082x = 19,739 × 19,739
  4. Step 4: Simplify right side
    13,082x = 389,628,121
  5. Step 5: Solve for x
    x = 389,628,121/13,082
  6. Step 6: Final answer
    x = 29,783.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.