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Finding the Third Proportional to 15,022.50 and 21,757.50

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Solution

The third proportional to 15,022.50 and 21,757.50 is: 31,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.50 : 21,757.50 = 21,757.50 : x
  2. Step 2: Convert to fraction form
    15,022.50/21,757.50 = 21,757.50/x
  3. Step 3: Cross multiply
    15,022.50x = 21,757.50 × 21,757.50
  4. Step 4: Simplify right side
    15,022.50x = 473,388,806.25
  5. Step 5: Solve for x
    x = 473,388,806.25/15,022.50
  6. Step 6: Final answer
    x = 31,511.99

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.