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Finding the Third Proportional to 13,340 and 19,063

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Solution

The third proportional to 13,340 and 19,063 is: 27,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,340 : 19,063 = 19,063 : x
  2. Step 2: Convert to fraction form
    13,340/19,063 = 19,063/x
  3. Step 3: Cross multiply
    13,340x = 19,063 × 19,063
  4. Step 4: Simplify right side
    13,340x = 363,397,969
  5. Step 5: Solve for x
    x = 363,397,969/13,340
  6. Step 6: Final answer
    x = 27,241.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.