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Finding the Third Proportional to 35,622 and 50,904

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Solution

The third proportional to 35,622 and 50,904 is: 72,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,622 : 50,904 = 50,904 : x
  2. Step 2: Convert to fraction form
    35,622/50,904 = 50,904/x
  3. Step 3: Cross multiply
    35,622x = 50,904 × 50,904
  4. Step 4: Simplify right side
    35,622x = 2,591,217,216
  5. Step 5: Solve for x
    x = 2,591,217,216/35,622
  6. Step 6: Final answer
    x = 72,742.05

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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.