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Finding the Third Proportional to 11,389.50 and 25,020.75

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Solution

The third proportional to 11,389.50 and 25,020.75 is: 54,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.50 : 25,020.75 = 25,020.75 : x
  2. Step 2: Convert to fraction form
    11,389.50/25,020.75 = 25,020.75/x
  3. Step 3: Cross multiply
    11,389.50x = 25,020.75 × 25,020.75
  4. Step 4: Simplify right side
    11,389.50x = 626,037,930.56
  5. Step 5: Solve for x
    x = 626,037,930.56/11,389.50
  6. Step 6: Final answer
    x = 54,966.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.