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Finding the Third Proportional to 19,993 and 30,519

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Solution

The third proportional to 19,993 and 30,519 is: 46,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993 : 30,519 = 30,519 : x
  2. Step 2: Convert to fraction form
    19,993/30,519 = 30,519/x
  3. Step 3: Cross multiply
    19,993x = 30,519 × 30,519
  4. Step 4: Simplify right side
    19,993x = 931,409,361
  5. Step 5: Solve for x
    x = 931,409,361/19,993
  6. Step 6: Final answer
    x = 46,586.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.