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Finding the Third Proportional to 30,041 and 43,273

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Solution

The third proportional to 30,041 and 43,273 is: 62,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041 : 43,273 = 43,273 : x
  2. Step 2: Convert to fraction form
    30,041/43,273 = 43,273/x
  3. Step 3: Cross multiply
    30,041x = 43,273 × 43,273
  4. Step 4: Simplify right side
    30,041x = 1,872,552,529
  5. Step 5: Solve for x
    x = 1,872,552,529/30,041
  6. Step 6: Final answer
    x = 62,333.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.