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Finding the Third Proportional to 44,313.75 and 67,383

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Solution

The third proportional to 44,313.75 and 67,383 is: 102,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,313.75 : 67,383 = 67,383 : x
  2. Step 2: Convert to fraction form
    44,313.75/67,383 = 67,383/x
  3. Step 3: Cross multiply
    44,313.75x = 67,383 × 67,383
  4. Step 4: Simplify right side
    44,313.75x = 4,540,468,689
  5. Step 5: Solve for x
    x = 4,540,468,689/44,313.75
  6. Step 6: Final answer
    x = 102,461.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.