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Finding the Third Proportional to 17,002 and 28,097

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Solution

The third proportional to 17,002 and 28,097 is: 46,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002 : 28,097 = 28,097 : x
  2. Step 2: Convert to fraction form
    17,002/28,097 = 28,097/x
  3. Step 3: Cross multiply
    17,002x = 28,097 × 28,097
  4. Step 4: Simplify right side
    17,002x = 789,441,409
  5. Step 5: Solve for x
    x = 789,441,409/17,002
  6. Step 6: Final answer
    x = 46,432.27

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.