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Finding the Third Proportional to 19,302 and 41,574

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Solution

The third proportional to 19,302 and 41,574 is: 89,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,302 : 41,574 = 41,574 : x
  2. Step 2: Convert to fraction form
    19,302/41,574 = 41,574/x
  3. Step 3: Cross multiply
    19,302x = 41,574 × 41,574
  4. Step 4: Simplify right side
    19,302x = 1,728,397,476
  5. Step 5: Solve for x
    x = 1,728,397,476/19,302
  6. Step 6: Final answer
    x = 89,544.99

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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.