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Finding the Third Proportional to 27,450.75 and 45,433.50

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Solution

The third proportional to 27,450.75 and 45,433.50 is: 75,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450.75 : 45,433.50 = 45,433.50 : x
  2. Step 2: Convert to fraction form
    27,450.75/45,433.50 = 45,433.50/x
  3. Step 3: Cross multiply
    27,450.75x = 45,433.50 × 45,433.50
  4. Step 4: Simplify right side
    27,450.75x = 2,064,202,922.25
  5. Step 5: Solve for x
    x = 2,064,202,922.25/27,450.75
  6. Step 6: Final answer
    x = 75,196.59

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.