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Finding the Third Proportional to 31,346.44 and 68,405.06

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Solution

The third proportional to 31,346.44 and 68,405.06 is: 149,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346.44 : 68,405.06 = 68,405.06 : x
  2. Step 2: Convert to fraction form
    31,346.44/68,405.06 = 68,405.06/x
  3. Step 3: Cross multiply
    31,346.44x = 68,405.06 × 68,405.06
  4. Step 4: Simplify right side
    31,346.44x = 4,679,252,575.63
  5. Step 5: Solve for x
    x = 4,679,252,575.63/31,346.44
  6. Step 6: Final answer
    x = 149,275.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.