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Finding the Third Proportional to 33,401.25 and 51,762.38

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Solution

The third proportional to 33,401.25 and 51,762.38 is: 80,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401.25 : 51,762.38 = 51,762.38 : x
  2. Step 2: Convert to fraction form
    33,401.25/51,762.38 = 51,762.38/x
  3. Step 3: Cross multiply
    33,401.25x = 51,762.38 × 51,762.38
  4. Step 4: Simplify right side
    33,401.25x = 2,679,343,465.64
  5. Step 5: Solve for x
    x = 2,679,343,465.64/33,401.25
  6. Step 6: Final answer
    x = 80,216.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.