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Finding the Third Proportional to 22,999.50 and 50,211

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Solution

The third proportional to 22,999.50 and 50,211 is: 109,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999.50 : 50,211 = 50,211 : x
  2. Step 2: Convert to fraction form
    22,999.50/50,211 = 50,211/x
  3. Step 3: Cross multiply
    22,999.50x = 50,211 × 50,211
  4. Step 4: Simplify right side
    22,999.50x = 2,521,144,521
  5. Step 5: Solve for x
    x = 2,521,144,521/22,999.50
  6. Step 6: Final answer
    x = 109,617.36

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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.