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Finding the Third Proportional to 38,148 and 50,934

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Solution

The third proportional to 38,148 and 50,934 is: 68,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,148 : 50,934 = 50,934 : x
  2. Step 2: Convert to fraction form
    38,148/50,934 = 50,934/x
  3. Step 3: Cross multiply
    38,148x = 50,934 × 50,934
  4. Step 4: Simplify right side
    38,148x = 2,594,272,356
  5. Step 5: Solve for x
    x = 2,594,272,356/38,148
  6. Step 6: Final answer
    x = 68,005.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.