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Finding the Third Proportional to 7,383 and 16,202

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Solution

The third proportional to 7,383 and 16,202 is: 35,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 16,202 = 16,202 : x
  2. Step 2: Convert to fraction form
    7,383/16,202 = 16,202/x
  3. Step 3: Cross multiply
    7,383x = 16,202 × 16,202
  4. Step 4: Simplify right side
    7,383x = 262,504,804
  5. Step 5: Solve for x
    x = 262,504,804/7,383
  6. Step 6: Final answer
    x = 35,555.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.