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Finding the Third Proportional to 38,514 and 84,378

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Solution

The third proportional to 38,514 and 84,378 is: 184,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514 : 84,378 = 84,378 : x
  2. Step 2: Convert to fraction form
    38,514/84,378 = 84,378/x
  3. Step 3: Cross multiply
    38,514x = 84,378 × 84,378
  4. Step 4: Simplify right side
    38,514x = 7,119,646,884
  5. Step 5: Solve for x
    x = 7,119,646,884/38,514
  6. Step 6: Final answer
    x = 184,858.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.