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Finding the Third Proportional to 29,450 and 47,145

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Solution

The third proportional to 29,450 and 47,145 is: 75,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,450 : 47,145 = 47,145 : x
  2. Step 2: Convert to fraction form
    29,450/47,145 = 47,145/x
  3. Step 3: Cross multiply
    29,450x = 47,145 × 47,145
  4. Step 4: Simplify right side
    29,450x = 2,222,651,025
  5. Step 5: Solve for x
    x = 2,222,651,025/29,450
  6. Step 6: Final answer
    x = 75,472.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.