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Finding the Third Proportional to 41,648 and 93,749

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Solution

The third proportional to 41,648 and 93,749 is: 211,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,648 : 93,749 = 93,749 : x
  2. Step 2: Convert to fraction form
    41,648/93,749 = 93,749/x
  3. Step 3: Cross multiply
    41,648x = 93,749 × 93,749
  4. Step 4: Simplify right side
    41,648x = 8,788,875,001
  5. Step 5: Solve for x
    x = 8,788,875,001/41,648
  6. Step 6: Final answer
    x = 211,027.54

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.