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Finding the Third Proportional to 34,722 and 49,167

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Solution

The third proportional to 34,722 and 49,167 is: 69,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722 : 49,167 = 49,167 : x
  2. Step 2: Convert to fraction form
    34,722/49,167 = 49,167/x
  3. Step 3: Cross multiply
    34,722x = 49,167 × 49,167
  4. Step 4: Simplify right side
    34,722x = 2,417,393,889
  5. Step 5: Solve for x
    x = 2,417,393,889/34,722
  6. Step 6: Final answer
    x = 69,621.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.