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Finding the Third Proportional to 29,054 and 43,467

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Solution

The third proportional to 29,054 and 43,467 is: 65,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,054 : 43,467 = 43,467 : x
  2. Step 2: Convert to fraction form
    29,054/43,467 = 43,467/x
  3. Step 3: Cross multiply
    29,054x = 43,467 × 43,467
  4. Step 4: Simplify right side
    29,054x = 1,889,380,089
  5. Step 5: Solve for x
    x = 1,889,380,089/29,054
  6. Step 6: Final answer
    x = 65,029.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.