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Finding the Third Proportional to 9,222 and 14,103

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Solution

The third proportional to 9,222 and 14,103 is: 21,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222 : 14,103 = 14,103 : x
  2. Step 2: Convert to fraction form
    9,222/14,103 = 14,103/x
  3. Step 3: Cross multiply
    9,222x = 14,103 × 14,103
  4. Step 4: Simplify right side
    9,222x = 198,894,609
  5. Step 5: Solve for x
    x = 198,894,609/9,222
  6. Step 6: Final answer
    x = 21,567.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.