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Finding the Third Proportional to 47,639 and 65,383

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Solution

The third proportional to 47,639 and 65,383 is: 89,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,639 : 65,383 = 65,383 : x
  2. Step 2: Convert to fraction form
    47,639/65,383 = 65,383/x
  3. Step 3: Cross multiply
    47,639x = 65,383 × 65,383
  4. Step 4: Simplify right side
    47,639x = 4,274,936,689
  5. Step 5: Solve for x
    x = 4,274,936,689/47,639
  6. Step 6: Final answer
    x = 89,736.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.