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Finding the Third Proportional to 35,194.50 and 50,154.19

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Solution

The third proportional to 35,194.50 and 50,154.19 is: 71,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,194.50 : 50,154.19 = 50,154.19 : x
  2. Step 2: Convert to fraction form
    35,194.50/50,154.19 = 50,154.19/x
  3. Step 3: Cross multiply
    35,194.50x = 50,154.19 × 50,154.19
  4. Step 4: Simplify right side
    35,194.50x = 2,515,442,523.79
  5. Step 5: Solve for x
    x = 2,515,442,523.79/35,194.50
  6. Step 6: Final answer
    x = 71,472.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.