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Finding the Third Proportional to 17,966 and 19,586

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Solution

The third proportional to 17,966 and 19,586 is: 21,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966 : 19,586 = 19,586 : x
  2. Step 2: Convert to fraction form
    17,966/19,586 = 19,586/x
  3. Step 3: Cross multiply
    17,966x = 19,586 × 19,586
  4. Step 4: Simplify right side
    17,966x = 383,611,396
  5. Step 5: Solve for x
    x = 383,611,396/17,966
  6. Step 6: Final answer
    x = 21,352.08

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.