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Finding the Third Proportional to 13,920 and 19,504

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Solution

The third proportional to 13,920 and 19,504 is: 27,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920 : 19,504 = 19,504 : x
  2. Step 2: Convert to fraction form
    13,920/19,504 = 19,504/x
  3. Step 3: Cross multiply
    13,920x = 19,504 × 19,504
  4. Step 4: Simplify right side
    13,920x = 380,406,016
  5. Step 5: Solve for x
    x = 380,406,016/13,920
  6. Step 6: Final answer
    x = 27,328.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.