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Finding the Third Proportional to 19,974.75 and 43,524

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Solution

The third proportional to 19,974.75 and 43,524 is: 94,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.75 : 43,524 = 43,524 : x
  2. Step 2: Convert to fraction form
    19,974.75/43,524 = 43,524/x
  3. Step 3: Cross multiply
    19,974.75x = 43,524 × 43,524
  4. Step 4: Simplify right side
    19,974.75x = 1,894,338,576
  5. Step 5: Solve for x
    x = 1,894,338,576/19,974.75
  6. Step 6: Final answer
    x = 94,836.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.