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Finding the Third Proportional to 13,608 and 19,261

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Solution

The third proportional to 13,608 and 19,261 is: 27,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608 : 19,261 = 19,261 : x
  2. Step 2: Convert to fraction form
    13,608/19,261 = 19,261/x
  3. Step 3: Cross multiply
    13,608x = 19,261 × 19,261
  4. Step 4: Simplify right side
    13,608x = 370,986,121
  5. Step 5: Solve for x
    x = 370,986,121/13,608
  6. Step 6: Final answer
    x = 27,262.35

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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.