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Finding the Third Proportional to 12,775.50 and 20,315.25

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Solution

The third proportional to 12,775.50 and 20,315.25 is: 32,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.50 : 20,315.25 = 20,315.25 : x
  2. Step 2: Convert to fraction form
    12,775.50/20,315.25 = 20,315.25/x
  3. Step 3: Cross multiply
    12,775.50x = 20,315.25 × 20,315.25
  4. Step 4: Simplify right side
    12,775.50x = 412,709,382.56
  5. Step 5: Solve for x
    x = 412,709,382.56/12,775.50
  6. Step 6: Final answer
    x = 32,304.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.