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Finding the Third Proportional to 15,419 and 32,450

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Solution

The third proportional to 15,419 and 32,450 is: 68,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419 : 32,450 = 32,450 : x
  2. Step 2: Convert to fraction form
    15,419/32,450 = 32,450/x
  3. Step 3: Cross multiply
    15,419x = 32,450 × 32,450
  4. Step 4: Simplify right side
    15,419x = 1,053,002,500
  5. Step 5: Solve for x
    x = 1,053,002,500/15,419
  6. Step 6: Final answer
    x = 68,292.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.