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Finding the Third Proportional to 22,199.25 and 47,223.75

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Solution

The third proportional to 22,199.25 and 47,223.75 is: 100,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.25 : 47,223.75 = 47,223.75 : x
  2. Step 2: Convert to fraction form
    22,199.25/47,223.75 = 47,223.75/x
  3. Step 3: Cross multiply
    22,199.25x = 47,223.75 × 47,223.75
  4. Step 4: Simplify right side
    22,199.25x = 2,230,082,564.06
  5. Step 5: Solve for x
    x = 2,230,082,564.06/22,199.25
  6. Step 6: Final answer
    x = 100,457.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.