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Finding the Third Proportional to 27,299.63 and 41,141.81

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Solution

The third proportional to 27,299.63 and 41,141.81 is: 62,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,299.63 : 41,141.81 = 41,141.81 : x
  2. Step 2: Convert to fraction form
    27,299.63/41,141.81 = 41,141.81/x
  3. Step 3: Cross multiply
    27,299.63x = 41,141.81 × 41,141.81
  4. Step 4: Simplify right side
    27,299.63x = 1,692,648,735.79
  5. Step 5: Solve for x
    x = 1,692,648,735.79/27,299.63
  6. Step 6: Final answer
    x = 62,002.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.