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Finding the Third Proportional to 27,343.20 and 44,648.72

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Solution

The third proportional to 27,343.20 and 44,648.72 is: 72,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343.20 : 44,648.72 = 44,648.72 : x
  2. Step 2: Convert to fraction form
    27,343.20/44,648.72 = 44,648.72/x
  3. Step 3: Cross multiply
    27,343.20x = 44,648.72 × 44,648.72
  4. Step 4: Simplify right side
    27,343.20x = 1,993,508,086.02
  5. Step 5: Solve for x
    x = 1,993,508,086.02/27,343.20
  6. Step 6: Final answer
    x = 72,906.92

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.