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Finding the Third Proportional to 30,002 and 65,652

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Solution

The third proportional to 30,002 and 65,652 is: 143,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002 : 65,652 = 65,652 : x
  2. Step 2: Convert to fraction form
    30,002/65,652 = 65,652/x
  3. Step 3: Cross multiply
    30,002x = 65,652 × 65,652
  4. Step 4: Simplify right side
    30,002x = 4,310,185,104
  5. Step 5: Solve for x
    x = 4,310,185,104/30,002
  6. Step 6: Final answer
    x = 143,663.26

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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.