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Finding the Third Proportional to 35,500 and 75,735

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Solution

The third proportional to 35,500 and 75,735 is: 161,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,500 : 75,735 = 75,735 : x
  2. Step 2: Convert to fraction form
    35,500/75,735 = 75,735/x
  3. Step 3: Cross multiply
    35,500x = 75,735 × 75,735
  4. Step 4: Simplify right side
    35,500x = 5,735,790,225
  5. Step 5: Solve for x
    x = 5,735,790,225/35,500
  6. Step 6: Final answer
    x = 161,571.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.