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Finding the Third Proportional to 30,633 and 41,574

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Solution

The third proportional to 30,633 and 41,574 is: 56,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633 : 41,574 = 41,574 : x
  2. Step 2: Convert to fraction form
    30,633/41,574 = 41,574/x
  3. Step 3: Cross multiply
    30,633x = 41,574 × 41,574
  4. Step 4: Simplify right side
    30,633x = 1,728,397,476
  5. Step 5: Solve for x
    x = 1,728,397,476/30,633
  6. Step 6: Final answer
    x = 56,422.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.