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Finding the Third Proportional to 27,193.50 and 42,021

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Solution

The third proportional to 27,193.50 and 42,021 is: 64,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.50 : 42,021 = 42,021 : x
  2. Step 2: Convert to fraction form
    27,193.50/42,021 = 42,021/x
  3. Step 3: Cross multiply
    27,193.50x = 42,021 × 42,021
  4. Step 4: Simplify right side
    27,193.50x = 1,765,764,441
  5. Step 5: Solve for x
    x = 1,765,764,441/27,193.50
  6. Step 6: Final answer
    x = 64,933.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.