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Finding the Third Proportional to 9,999 and 21,144

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Solution

The third proportional to 9,999 and 21,144 is: 44,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999 : 21,144 = 21,144 : x
  2. Step 2: Convert to fraction form
    9,999/21,144 = 21,144/x
  3. Step 3: Cross multiply
    9,999x = 21,144 × 21,144
  4. Step 4: Simplify right side
    9,999x = 447,068,736
  5. Step 5: Solve for x
    x = 447,068,736/9,999
  6. Step 6: Final answer
    x = 44,711.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.