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Finding the Third Proportional to 15,082.50 and 34,968.75

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Solution

The third proportional to 15,082.50 and 34,968.75 is: 81,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.50 : 34,968.75 = 34,968.75 : x
  2. Step 2: Convert to fraction form
    15,082.50/34,968.75 = 34,968.75/x
  3. Step 3: Cross multiply
    15,082.50x = 34,968.75 × 34,968.75
  4. Step 4: Simplify right side
    15,082.50x = 1,222,813,476.56
  5. Step 5: Solve for x
    x = 1,222,813,476.56/15,082.50
  6. Step 6: Final answer
    x = 81,074.99

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.