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Finding the Third Proportional to 35,758 and 80,633

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Solution

The third proportional to 35,758 and 80,633 is: 181,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758 : 80,633 = 80,633 : x
  2. Step 2: Convert to fraction form
    35,758/80,633 = 80,633/x
  3. Step 3: Cross multiply
    35,758x = 80,633 × 80,633
  4. Step 4: Simplify right side
    35,758x = 6,501,680,689
  5. Step 5: Solve for x
    x = 6,501,680,689/35,758
  6. Step 6: Final answer
    x = 181,824.51

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.