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Finding the Third Proportional to 47,676 and 75,600

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Solution

The third proportional to 47,676 and 75,600 is: 119,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676 : 75,600 = 75,600 : x
  2. Step 2: Convert to fraction form
    47,676/75,600 = 75,600/x
  3. Step 3: Cross multiply
    47,676x = 75,600 × 75,600
  4. Step 4: Simplify right side
    47,676x = 5,715,360,000
  5. Step 5: Solve for x
    x = 5,715,360,000/47,676
  6. Step 6: Final answer
    x = 119,879.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.