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Finding the Third Proportional to 4,970 and 11,189

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Solution

The third proportional to 4,970 and 11,189 is: 25,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970 : 11,189 = 11,189 : x
  2. Step 2: Convert to fraction form
    4,970/11,189 = 11,189/x
  3. Step 3: Cross multiply
    4,970x = 11,189 × 11,189
  4. Step 4: Simplify right side
    4,970x = 125,193,721
  5. Step 5: Solve for x
    x = 125,193,721/4,970
  6. Step 6: Final answer
    x = 25,189.88

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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.