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Finding the Third Proportional to 25,295.73 and 37,020.96

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Solution

The third proportional to 25,295.73 and 37,020.96 is: 54,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.73 : 37,020.96 = 37,020.96 : x
  2. Step 2: Convert to fraction form
    25,295.73/37,020.96 = 37,020.96/x
  3. Step 3: Cross multiply
    25,295.73x = 37,020.96 × 37,020.96
  4. Step 4: Simplify right side
    25,295.73x = 1,370,551,114.90
  5. Step 5: Solve for x
    x = 1,370,551,114.90/25,295.73
  6. Step 6: Final answer
    x = 54,181.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.