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Finding the Third Proportional to 27,256.50 and 38,652.75

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Solution

The third proportional to 27,256.50 and 38,652.75 is: 54,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,256.50 : 38,652.75 = 38,652.75 : x
  2. Step 2: Convert to fraction form
    27,256.50/38,652.75 = 38,652.75/x
  3. Step 3: Cross multiply
    27,256.50x = 38,652.75 × 38,652.75
  4. Step 4: Simplify right side
    27,256.50x = 1,494,035,082.56
  5. Step 5: Solve for x
    x = 1,494,035,082.56/27,256.50
  6. Step 6: Final answer
    x = 54,813.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.