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Finding the Third Proportional to 33,735 and 50,419.13

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Solution

The third proportional to 33,735 and 50,419.13 is: 75,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,735 : 50,419.13 = 50,419.13 : x
  2. Step 2: Convert to fraction form
    33,735/50,419.13 = 50,419.13/x
  3. Step 3: Cross multiply
    33,735x = 50,419.13 × 50,419.13
  4. Step 4: Simplify right side
    33,735x = 2,542,088,165.77
  5. Step 5: Solve for x
    x = 2,542,088,165.77/33,735
  6. Step 6: Final answer
    x = 75,354.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.