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Finding the Third Proportional to 35,357.50 and 50,120

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Solution

The third proportional to 35,357.50 and 50,120 is: 71,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,357.50 : 50,120 = 50,120 : x
  2. Step 2: Convert to fraction form
    35,357.50/50,120 = 50,120/x
  3. Step 3: Cross multiply
    35,357.50x = 50,120 × 50,120
  4. Step 4: Simplify right side
    35,357.50x = 2,512,014,400
  5. Step 5: Solve for x
    x = 2,512,014,400/35,357.50
  6. Step 6: Final answer
    x = 71,046.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.