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Finding the Third Proportional to 31,423.44 and 43,955.22

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Solution

The third proportional to 31,423.44 and 43,955.22 is: 61,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,423.44 : 43,955.22 = 43,955.22 : x
  2. Step 2: Convert to fraction form
    31,423.44/43,955.22 = 43,955.22/x
  3. Step 3: Cross multiply
    31,423.44x = 43,955.22 × 43,955.22
  4. Step 4: Simplify right side
    31,423.44x = 1,932,061,255.36
  5. Step 5: Solve for x
    x = 1,932,061,255.36/31,423.44
  6. Step 6: Final answer
    x = 61,484.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.