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Finding the Third Proportional to 27,231.19 and 40,808.81

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Solution

The third proportional to 27,231.19 and 40,808.81 is: 61,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.19 : 40,808.81 = 40,808.81 : x
  2. Step 2: Convert to fraction form
    27,231.19/40,808.81 = 40,808.81/x
  3. Step 3: Cross multiply
    27,231.19x = 40,808.81 × 40,808.81
  4. Step 4: Simplify right side
    27,231.19x = 1,665,359,177.66
  5. Step 5: Solve for x
    x = 1,665,359,177.66/27,231.19
  6. Step 6: Final answer
    x = 61,156.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.