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Finding the Third Proportional to 19,599 and 41,619

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Solution

The third proportional to 19,599 and 41,619 is: 88,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,599 : 41,619 = 41,619 : x
  2. Step 2: Convert to fraction form
    19,599/41,619 = 41,619/x
  3. Step 3: Cross multiply
    19,599x = 41,619 × 41,619
  4. Step 4: Simplify right side
    19,599x = 1,732,141,161
  5. Step 5: Solve for x
    x = 1,732,141,161/19,599
  6. Step 6: Final answer
    x = 88,379.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.