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Finding the Third Proportional to 23,109 and 48,810

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Solution

The third proportional to 23,109 and 48,810 is: 103,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109 : 48,810 = 48,810 : x
  2. Step 2: Convert to fraction form
    23,109/48,810 = 48,810/x
  3. Step 3: Cross multiply
    23,109x = 48,810 × 48,810
  4. Step 4: Simplify right side
    23,109x = 2,382,416,100
  5. Step 5: Solve for x
    x = 2,382,416,100/23,109
  6. Step 6: Final answer
    x = 103,094.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.