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Finding the Third Proportional to 47,648 and 101,625

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Solution

The third proportional to 47,648 and 101,625 is: 216,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648 : 101,625 = 101,625 : x
  2. Step 2: Convert to fraction form
    47,648/101,625 = 101,625/x
  3. Step 3: Cross multiply
    47,648x = 101,625 × 101,625
  4. Step 4: Simplify right side
    47,648x = 10,327,640,625
  5. Step 5: Solve for x
    x = 10,327,640,625/47,648
  6. Step 6: Final answer
    x = 216,748.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.