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Finding the Third Proportional to 30,544 and 45,912

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Solution

The third proportional to 30,544 and 45,912 is: 69,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544 : 45,912 = 45,912 : x
  2. Step 2: Convert to fraction form
    30,544/45,912 = 45,912/x
  3. Step 3: Cross multiply
    30,544x = 45,912 × 45,912
  4. Step 4: Simplify right side
    30,544x = 2,107,911,744
  5. Step 5: Solve for x
    x = 2,107,911,744/30,544
  6. Step 6: Final answer
    x = 69,012.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.