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Finding the Third Proportional to 27,040.50 and 40,415.63

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Solution

The third proportional to 27,040.50 and 40,415.63 is: 60,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,040.50 : 40,415.63 = 40,415.63 : x
  2. Step 2: Convert to fraction form
    27,040.50/40,415.63 = 40,415.63/x
  3. Step 3: Cross multiply
    27,040.50x = 40,415.63 × 40,415.63
  4. Step 4: Simplify right side
    27,040.50x = 1,633,422,744.14
  5. Step 5: Solve for x
    x = 1,633,422,744.14/27,040.50
  6. Step 6: Final answer
    x = 60,406.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.