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Finding the Third Proportional to 13,584 and 28,041

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Solution

The third proportional to 13,584 and 28,041 is: 57,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 28,041 = 28,041 : x
  2. Step 2: Convert to fraction form
    13,584/28,041 = 28,041/x
  3. Step 3: Cross multiply
    13,584x = 28,041 × 28,041
  4. Step 4: Simplify right side
    13,584x = 786,297,681
  5. Step 5: Solve for x
    x = 786,297,681/13,584
  6. Step 6: Final answer
    x = 57,884.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.