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Finding the Third Proportional to 46,383 and 67,002

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Solution

The third proportional to 46,383 and 67,002 is: 96,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,383 : 67,002 = 67,002 : x
  2. Step 2: Convert to fraction form
    46,383/67,002 = 67,002/x
  3. Step 3: Cross multiply
    46,383x = 67,002 × 67,002
  4. Step 4: Simplify right side
    46,383x = 4,489,268,004
  5. Step 5: Solve for x
    x = 4,489,268,004/46,383
  6. Step 6: Final answer
    x = 96,786.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.