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Finding the Third Proportional to 19,936 and 22,080

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Solution

The third proportional to 19,936 and 22,080 is: 24,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 22,080 = 22,080 : x
  2. Step 2: Convert to fraction form
    19,936/22,080 = 22,080/x
  3. Step 3: Cross multiply
    19,936x = 22,080 × 22,080
  4. Step 4: Simplify right side
    19,936x = 487,526,400
  5. Step 5: Solve for x
    x = 487,526,400/19,936
  6. Step 6: Final answer
    x = 24,454.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.