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Finding the Third Proportional to 34,220.25 and 50,148

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Solution

The third proportional to 34,220.25 and 50,148 is: 73,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220.25 : 50,148 = 50,148 : x
  2. Step 2: Convert to fraction form
    34,220.25/50,148 = 50,148/x
  3. Step 3: Cross multiply
    34,220.25x = 50,148 × 50,148
  4. Step 4: Simplify right side
    34,220.25x = 2,514,821,904
  5. Step 5: Solve for x
    x = 2,514,821,904/34,220.25
  6. Step 6: Final answer
    x = 73,489.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.