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Finding the Third Proportional to 27,680 and 48,224

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Solution

The third proportional to 27,680 and 48,224 is: 84,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680 : 48,224 = 48,224 : x
  2. Step 2: Convert to fraction form
    27,680/48,224 = 48,224/x
  3. Step 3: Cross multiply
    27,680x = 48,224 × 48,224
  4. Step 4: Simplify right side
    27,680x = 2,325,554,176
  5. Step 5: Solve for x
    x = 2,325,554,176/27,680
  6. Step 6: Final answer
    x = 84,015.69

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.