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Finding the Third Proportional to 35,648 and 40,832

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Solution

The third proportional to 35,648 and 40,832 is: 46,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648 : 40,832 = 40,832 : x
  2. Step 2: Convert to fraction form
    35,648/40,832 = 40,832/x
  3. Step 3: Cross multiply
    35,648x = 40,832 × 40,832
  4. Step 4: Simplify right side
    35,648x = 1,667,252,224
  5. Step 5: Solve for x
    x = 1,667,252,224/35,648
  6. Step 6: Final answer
    x = 46,769.87

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.