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Finding the Third Proportional to 27,672.89 and 40,420.27

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Solution

The third proportional to 27,672.89 and 40,420.27 is: 59,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.89 : 40,420.27 = 40,420.27 : x
  2. Step 2: Convert to fraction form
    27,672.89/40,420.27 = 40,420.27/x
  3. Step 3: Cross multiply
    27,672.89x = 40,420.27 × 40,420.27
  4. Step 4: Simplify right side
    27,672.89x = 1,633,797,873.20
  5. Step 5: Solve for x
    x = 1,633,797,873.20/27,672.89
  6. Step 6: Final answer
    x = 59,039.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.