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Finding the Third Proportional to 19,408 and 41,586

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Solution

The third proportional to 19,408 and 41,586 is: 89,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 41,586 = 41,586 : x
  2. Step 2: Convert to fraction form
    19,408/41,586 = 41,586/x
  3. Step 3: Cross multiply
    19,408x = 41,586 × 41,586
  4. Step 4: Simplify right side
    19,408x = 1,729,395,396
  5. Step 5: Solve for x
    x = 1,729,395,396/19,408
  6. Step 6: Final answer
    x = 89,107.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.