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Finding the Third Proportional to 19,037 and 27,933

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Solution

The third proportional to 19,037 and 27,933 is: 40,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,037 : 27,933 = 27,933 : x
  2. Step 2: Convert to fraction form
    19,037/27,933 = 27,933/x
  3. Step 3: Cross multiply
    19,037x = 27,933 × 27,933
  4. Step 4: Simplify right side
    19,037x = 780,252,489
  5. Step 5: Solve for x
    x = 780,252,489/19,037
  6. Step 6: Final answer
    x = 40,986.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.