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Finding the Third Proportional to 22,364.44 and 31,343.63

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Solution

The third proportional to 22,364.44 and 31,343.63 is: 43,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.44 : 31,343.63 = 31,343.63 : x
  2. Step 2: Convert to fraction form
    22,364.44/31,343.63 = 31,343.63/x
  3. Step 3: Cross multiply
    22,364.44x = 31,343.63 × 31,343.63
  4. Step 4: Simplify right side
    22,364.44x = 982,422,828.14
  5. Step 5: Solve for x
    x = 982,422,828.14/22,364.44
  6. Step 6: Final answer
    x = 43,927.90

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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.