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Finding the Third Proportional to 47,676.75 and 64,749.75

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Solution

The third proportional to 47,676.75 and 64,749.75 is: 87,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.75 : 64,749.75 = 64,749.75 : x
  2. Step 2: Convert to fraction form
    47,676.75/64,749.75 = 64,749.75/x
  3. Step 3: Cross multiply
    47,676.75x = 64,749.75 × 64,749.75
  4. Step 4: Simplify right side
    47,676.75x = 4,192,530,125.06
  5. Step 5: Solve for x
    x = 4,192,530,125.06/47,676.75
  6. Step 6: Final answer
    x = 87,936.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.