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Finding the Third Proportional to 38,648 and 55,119

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Solution

The third proportional to 38,648 and 55,119 is: 78,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648 : 55,119 = 55,119 : x
  2. Step 2: Convert to fraction form
    38,648/55,119 = 55,119/x
  3. Step 3: Cross multiply
    38,648x = 55,119 × 55,119
  4. Step 4: Simplify right side
    38,648x = 3,038,104,161
  5. Step 5: Solve for x
    x = 3,038,104,161/38,648
  6. Step 6: Final answer
    x = 78,609.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.