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Finding the Third Proportional to 19,258 and 41,121

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Solution

The third proportional to 19,258 and 41,121 is: 87,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258 : 41,121 = 41,121 : x
  2. Step 2: Convert to fraction form
    19,258/41,121 = 41,121/x
  3. Step 3: Cross multiply
    19,258x = 41,121 × 41,121
  4. Step 4: Simplify right side
    19,258x = 1,690,936,641
  5. Step 5: Solve for x
    x = 1,690,936,641/19,258
  6. Step 6: Final answer
    x = 87,804.37

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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.