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Finding the Third Proportional to 19,483 and 42,041

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Solution

The third proportional to 19,483 and 42,041 is: 90,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,483 : 42,041 = 42,041 : x
  2. Step 2: Convert to fraction form
    19,483/42,041 = 42,041/x
  3. Step 3: Cross multiply
    19,483x = 42,041 × 42,041
  4. Step 4: Simplify right side
    19,483x = 1,767,445,681
  5. Step 5: Solve for x
    x = 1,767,445,681/19,483
  6. Step 6: Final answer
    x = 90,717.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.