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Finding the Third Proportional to 30,012.75 and 43,782.75

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Solution

The third proportional to 30,012.75 and 43,782.75 is: 63,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.75 : 43,782.75 = 43,782.75 : x
  2. Step 2: Convert to fraction form
    30,012.75/43,782.75 = 43,782.75/x
  3. Step 3: Cross multiply
    30,012.75x = 43,782.75 × 43,782.75
  4. Step 4: Simplify right side
    30,012.75x = 1,916,929,197.56
  5. Step 5: Solve for x
    x = 1,916,929,197.56/30,012.75
  6. Step 6: Final answer
    x = 63,870.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.