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Finding the Third Proportional to 13,578 and 21,081

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Solution

The third proportional to 13,578 and 21,081 is: 32,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578 : 21,081 = 21,081 : x
  2. Step 2: Convert to fraction form
    13,578/21,081 = 21,081/x
  3. Step 3: Cross multiply
    13,578x = 21,081 × 21,081
  4. Step 4: Simplify right side
    13,578x = 444,408,561
  5. Step 5: Solve for x
    x = 444,408,561/13,578
  6. Step 6: Final answer
    x = 32,730.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.