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Finding the Third Proportional to 19,507 and 41,975

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Solution

The third proportional to 19,507 and 41,975 is: 90,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507 : 41,975 = 41,975 : x
  2. Step 2: Convert to fraction form
    19,507/41,975 = 41,975/x
  3. Step 3: Cross multiply
    19,507x = 41,975 × 41,975
  4. Step 4: Simplify right side
    19,507x = 1,761,900,625
  5. Step 5: Solve for x
    x = 1,761,900,625/19,507
  6. Step 6: Final answer
    x = 90,321.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.