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Finding the Third Proportional to 9,217.69 and 13,902.19

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Solution

The third proportional to 9,217.69 and 13,902.19 is: 20,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.69 : 13,902.19 = 13,902.19 : x
  2. Step 2: Convert to fraction form
    9,217.69/13,902.19 = 13,902.19/x
  3. Step 3: Cross multiply
    9,217.69x = 13,902.19 × 13,902.19
  4. Step 4: Simplify right side
    9,217.69x = 193,270,817.29
  5. Step 5: Solve for x
    x = 193,270,817.29/9,217.69
  6. Step 6: Final answer
    x = 20,967.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.