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Finding the Third Proportional to 31,802.63 and 54,163.69

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Solution

The third proportional to 31,802.63 and 54,163.69 is: 92,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.63 : 54,163.69 = 54,163.69 : x
  2. Step 2: Convert to fraction form
    31,802.63/54,163.69 = 54,163.69/x
  3. Step 3: Cross multiply
    31,802.63x = 54,163.69 × 54,163.69
  4. Step 4: Simplify right side
    31,802.63x = 2,933,705,043.60
  5. Step 5: Solve for x
    x = 2,933,705,043.60/31,802.63
  6. Step 6: Final answer
    x = 92,247.26

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.