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Finding the Third Proportional to 36,074 and 50,454

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Solution

The third proportional to 36,074 and 50,454 is: 70,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074 : 50,454 = 50,454 : x
  2. Step 2: Convert to fraction form
    36,074/50,454 = 50,454/x
  3. Step 3: Cross multiply
    36,074x = 50,454 × 50,454
  4. Step 4: Simplify right side
    36,074x = 2,545,606,116
  5. Step 5: Solve for x
    x = 2,545,606,116/36,074
  6. Step 6: Final answer
    x = 70,566.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.