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Finding the Third Proportional to 34,148 and 53,450

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Solution

The third proportional to 34,148 and 53,450 is: 83,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,148 : 53,450 = 53,450 : x
  2. Step 2: Convert to fraction form
    34,148/53,450 = 53,450/x
  3. Step 3: Cross multiply
    34,148x = 53,450 × 53,450
  4. Step 4: Simplify right side
    34,148x = 2,856,902,500
  5. Step 5: Solve for x
    x = 2,856,902,500/34,148
  6. Step 6: Final answer
    x = 83,662.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.