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Finding the Third Proportional to 13,568 and 19,240

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Solution

The third proportional to 13,568 and 19,240 is: 27,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568 : 19,240 = 19,240 : x
  2. Step 2: Convert to fraction form
    13,568/19,240 = 19,240/x
  3. Step 3: Cross multiply
    13,568x = 19,240 × 19,240
  4. Step 4: Simplify right side
    13,568x = 370,177,600
  5. Step 5: Solve for x
    x = 370,177,600/13,568
  6. Step 6: Final answer
    x = 27,283.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.