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Finding the Third Proportional to 47,021.75 and 101,424.50

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Solution

The third proportional to 47,021.75 and 101,424.50 is: 218,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,021.75 : 101,424.50 = 101,424.50 : x
  2. Step 2: Convert to fraction form
    47,021.75/101,424.50 = 101,424.50/x
  3. Step 3: Cross multiply
    47,021.75x = 101,424.50 × 101,424.50
  4. Step 4: Simplify right side
    47,021.75x = 10,286,929,200.25
  5. Step 5: Solve for x
    x = 10,286,929,200.25/47,021.75
  6. Step 6: Final answer
    x = 218,769.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.