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Finding the Third Proportional to 14,947 and 34,450

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Solution

The third proportional to 14,947 and 34,450 is: 79,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947 : 34,450 = 34,450 : x
  2. Step 2: Convert to fraction form
    14,947/34,450 = 34,450/x
  3. Step 3: Cross multiply
    14,947x = 34,450 × 34,450
  4. Step 4: Simplify right side
    14,947x = 1,186,802,500
  5. Step 5: Solve for x
    x = 1,186,802,500/14,947
  6. Step 6: Final answer
    x = 79,400.72

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.