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Finding the Third Proportional to 25,912.50 and 55,960

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Solution

The third proportional to 25,912.50 and 55,960 is: 120,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912.50 : 55,960 = 55,960 : x
  2. Step 2: Convert to fraction form
    25,912.50/55,960 = 55,960/x
  3. Step 3: Cross multiply
    25,912.50x = 55,960 × 55,960
  4. Step 4: Simplify right side
    25,912.50x = 3,131,521,600
  5. Step 5: Solve for x
    x = 3,131,521,600/25,912.50
  6. Step 6: Final answer
    x = 120,849.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.