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Finding the Third Proportional to 14,295.94 and 31,352.06

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Solution

The third proportional to 14,295.94 and 31,352.06 is: 68,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.94 : 31,352.06 = 31,352.06 : x
  2. Step 2: Convert to fraction form
    14,295.94/31,352.06 = 31,352.06/x
  3. Step 3: Cross multiply
    14,295.94x = 31,352.06 × 31,352.06
  4. Step 4: Simplify right side
    14,295.94x = 982,951,823.00
  5. Step 5: Solve for x
    x = 982,951,823.00/14,295.94
  6. Step 6: Final answer
    x = 68,757.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.