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Finding the Third Proportional to 18,999 and 30,519

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Solution

The third proportional to 18,999 and 30,519 is: 49,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,999 : 30,519 = 30,519 : x
  2. Step 2: Convert to fraction form
    18,999/30,519 = 30,519/x
  3. Step 3: Cross multiply
    18,999x = 30,519 × 30,519
  4. Step 4: Simplify right side
    18,999x = 931,409,361
  5. Step 5: Solve for x
    x = 931,409,361/18,999
  6. Step 6: Final answer
    x = 49,024.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.