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Finding the Third Proportional to 30,452 and 40,736

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Solution

The third proportional to 30,452 and 40,736 is: 54,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452 : 40,736 = 40,736 : x
  2. Step 2: Convert to fraction form
    30,452/40,736 = 40,736/x
  3. Step 3: Cross multiply
    30,452x = 40,736 × 40,736
  4. Step 4: Simplify right side
    30,452x = 1,659,421,696
  5. Step 5: Solve for x
    x = 1,659,421,696/30,452
  6. Step 6: Final answer
    x = 54,493.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.