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Finding the Third Proportional to 44,023.50 and 68,195.25

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Solution

The third proportional to 44,023.50 and 68,195.25 is: 105,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,023.50 : 68,195.25 = 68,195.25 : x
  2. Step 2: Convert to fraction form
    44,023.50/68,195.25 = 68,195.25/x
  3. Step 3: Cross multiply
    44,023.50x = 68,195.25 × 68,195.25
  4. Step 4: Simplify right side
    44,023.50x = 4,650,592,122.56
  5. Step 5: Solve for x
    x = 4,650,592,122.56/44,023.50
  6. Step 6: Final answer
    x = 105,638.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.