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Finding the Third Proportional to 25,231.50 and 34,283.25

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Solution

The third proportional to 25,231.50 and 34,283.25 is: 46,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.50 : 34,283.25 = 34,283.25 : x
  2. Step 2: Convert to fraction form
    25,231.50/34,283.25 = 34,283.25/x
  3. Step 3: Cross multiply
    25,231.50x = 34,283.25 × 34,283.25
  4. Step 4: Simplify right side
    25,231.50x = 1,175,341,230.56
  5. Step 5: Solve for x
    x = 1,175,341,230.56/25,231.50
  6. Step 6: Final answer
    x = 46,582.30

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.