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Finding the Third Proportional to 47,880 and 87,984

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Solution

The third proportional to 47,880 and 87,984 is: 161,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,880 : 87,984 = 87,984 : x
  2. Step 2: Convert to fraction form
    47,880/87,984 = 87,984/x
  3. Step 3: Cross multiply
    47,880x = 87,984 × 87,984
  4. Step 4: Simplify right side
    47,880x = 7,741,184,256
  5. Step 5: Solve for x
    x = 7,741,184,256/47,880
  6. Step 6: Final answer
    x = 161,678.87

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.