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Finding the Third Proportional to 25,013.50 and 35,180

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Solution

The third proportional to 25,013.50 and 35,180 is: 49,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,013.50 : 35,180 = 35,180 : x
  2. Step 2: Convert to fraction form
    25,013.50/35,180 = 35,180/x
  3. Step 3: Cross multiply
    25,013.50x = 35,180 × 35,180
  4. Step 4: Simplify right side
    25,013.50x = 1,237,632,400
  5. Step 5: Solve for x
    x = 1,237,632,400/25,013.50
  6. Step 6: Final answer
    x = 49,478.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.