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Finding the Third Proportional to 19,298 and 41,641

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Solution

The third proportional to 19,298 and 41,641 is: 89,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298 : 41,641 = 41,641 : x
  2. Step 2: Convert to fraction form
    19,298/41,641 = 41,641/x
  3. Step 3: Cross multiply
    19,298x = 41,641 × 41,641
  4. Step 4: Simplify right side
    19,298x = 1,733,972,881
  5. Step 5: Solve for x
    x = 1,733,972,881/19,298
  6. Step 6: Final answer
    x = 89,852.47

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Why These Related Problems?

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