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Finding the Third Proportional to 27,584 and 36,480

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Solution

The third proportional to 27,584 and 36,480 is: 48,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584 : 36,480 = 36,480 : x
  2. Step 2: Convert to fraction form
    27,584/36,480 = 36,480/x
  3. Step 3: Cross multiply
    27,584x = 36,480 × 36,480
  4. Step 4: Simplify right side
    27,584x = 1,330,790,400
  5. Step 5: Solve for x
    x = 1,330,790,400/27,584
  6. Step 6: Final answer
    x = 48,245.01

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.