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Finding the Third Proportional to 27,342.75 and 39,099.75

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Solution

The third proportional to 27,342.75 and 39,099.75 is: 55,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342.75 : 39,099.75 = 39,099.75 : x
  2. Step 2: Convert to fraction form
    27,342.75/39,099.75 = 39,099.75/x
  3. Step 3: Cross multiply
    27,342.75x = 39,099.75 × 39,099.75
  4. Step 4: Simplify right side
    27,342.75x = 1,528,790,450.06
  5. Step 5: Solve for x
    x = 1,528,790,450.06/27,342.75
  6. Step 6: Final answer
    x = 55,912.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.