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Finding the Third Proportional to 9,198 and 14,202

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Solution

The third proportional to 9,198 and 14,202 is: 21,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 14,202 = 14,202 : x
  2. Step 2: Convert to fraction form
    9,198/14,202 = 14,202/x
  3. Step 3: Cross multiply
    9,198x = 14,202 × 14,202
  4. Step 4: Simplify right side
    9,198x = 201,696,804
  5. Step 5: Solve for x
    x = 201,696,804/9,198
  6. Step 6: Final answer
    x = 21,928.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.