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Finding the Third Proportional to 9,224 and 9,992

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Solution

The third proportional to 9,224 and 9,992 is: 10,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224 : 9,992 = 9,992 : x
  2. Step 2: Convert to fraction form
    9,224/9,992 = 9,992/x
  3. Step 3: Cross multiply
    9,224x = 9,992 × 9,992
  4. Step 4: Simplify right side
    9,224x = 99,840,064
  5. Step 5: Solve for x
    x = 99,840,064/9,224
  6. Step 6: Final answer
    x = 10,823.94

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.