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Finding the Third Proportional to 38,736 and 84,578

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Solution

The third proportional to 38,736 and 84,578 is: 184,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,736 : 84,578 = 84,578 : x
  2. Step 2: Convert to fraction form
    38,736/84,578 = 84,578/x
  3. Step 3: Cross multiply
    38,736x = 84,578 × 84,578
  4. Step 4: Simplify right side
    38,736x = 7,153,438,084
  5. Step 5: Solve for x
    x = 7,153,438,084/38,736
  6. Step 6: Final answer
    x = 184,671.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.