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Finding the Third Proportional to 19,372 and 41,408

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Solution

The third proportional to 19,372 and 41,408 is: 88,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,372 : 41,408 = 41,408 : x
  2. Step 2: Convert to fraction form
    19,372/41,408 = 41,408/x
  3. Step 3: Cross multiply
    19,372x = 41,408 × 41,408
  4. Step 4: Simplify right side
    19,372x = 1,714,622,464
  5. Step 5: Solve for x
    x = 1,714,622,464/19,372
  6. Step 6: Final answer
    x = 88,510.35

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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.