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Finding the Third Proportional to 13,082 and 19,803

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Solution

The third proportional to 13,082 and 19,803 is: 29,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082 : 19,803 = 19,803 : x
  2. Step 2: Convert to fraction form
    13,082/19,803 = 19,803/x
  3. Step 3: Cross multiply
    13,082x = 19,803 × 19,803
  4. Step 4: Simplify right side
    13,082x = 392,158,809
  5. Step 5: Solve for x
    x = 392,158,809/13,082
  6. Step 6: Final answer
    x = 29,976.98

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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.