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Finding the Third Proportional to 22,180.50 and 31,195.50

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Solution

The third proportional to 22,180.50 and 31,195.50 is: 43,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,180.50 : 31,195.50 = 31,195.50 : x
  2. Step 2: Convert to fraction form
    22,180.50/31,195.50 = 31,195.50/x
  3. Step 3: Cross multiply
    22,180.50x = 31,195.50 × 31,195.50
  4. Step 4: Simplify right side
    22,180.50x = 973,159,220.25
  5. Step 5: Solve for x
    x = 973,159,220.25/22,180.50
  6. Step 6: Final answer
    x = 43,874.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.