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Finding the Third Proportional to 35,653.50 and 50,427

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Solution

The third proportional to 35,653.50 and 50,427 is: 71,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.50 : 50,427 = 50,427 : x
  2. Step 2: Convert to fraction form
    35,653.50/50,427 = 50,427/x
  3. Step 3: Cross multiply
    35,653.50x = 50,427 × 50,427
  4. Step 4: Simplify right side
    35,653.50x = 2,542,882,329
  5. Step 5: Solve for x
    x = 2,542,882,329/35,653.50
  6. Step 6: Final answer
    x = 71,322.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.