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Finding the Third Proportional to 4,545 and 11,922.75

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Solution

The third proportional to 4,545 and 11,922.75 is: 31,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545 : 11,922.75 = 11,922.75 : x
  2. Step 2: Convert to fraction form
    4,545/11,922.75 = 11,922.75/x
  3. Step 3: Cross multiply
    4,545x = 11,922.75 × 11,922.75
  4. Step 4: Simplify right side
    4,545x = 142,151,967.56
  5. Step 5: Solve for x
    x = 142,151,967.56/4,545
  6. Step 6: Final answer
    x = 31,276.56

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.