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Finding the Third Proportional to 22,009 and 48,050

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Solution

The third proportional to 22,009 and 48,050 is: 104,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009 : 48,050 = 48,050 : x
  2. Step 2: Convert to fraction form
    22,009/48,050 = 48,050/x
  3. Step 3: Cross multiply
    22,009x = 48,050 × 48,050
  4. Step 4: Simplify right side
    22,009x = 2,308,802,500
  5. Step 5: Solve for x
    x = 2,308,802,500/22,009
  6. Step 6: Final answer
    x = 104,902.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.