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Finding the Third Proportional to 19,827 and 22,014

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Solution

The third proportional to 19,827 and 22,014 is: 24,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 22,014 = 22,014 : x
  2. Step 2: Convert to fraction form
    19,827/22,014 = 22,014/x
  3. Step 3: Cross multiply
    19,827x = 22,014 × 22,014
  4. Step 4: Simplify right side
    19,827x = 484,616,196
  5. Step 5: Solve for x
    x = 484,616,196/19,827
  6. Step 6: Final answer
    x = 24,442.24

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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.