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Finding the Third Proportional to 25,912.50 and 55,378.50

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Solution

The third proportional to 25,912.50 and 55,378.50 is: 118,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912.50 : 55,378.50 = 55,378.50 : x
  2. Step 2: Convert to fraction form
    25,912.50/55,378.50 = 55,378.50/x
  3. Step 3: Cross multiply
    25,912.50x = 55,378.50 × 55,378.50
  4. Step 4: Simplify right side
    25,912.50x = 3,066,778,262.25
  5. Step 5: Solve for x
    x = 3,066,778,262.25/25,912.50
  6. Step 6: Final answer
    x = 118,351.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.