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Finding the Third Proportional to 12,352.50 and 13,709.25

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Solution

The third proportional to 12,352.50 and 13,709.25 is: 15,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.50 : 13,709.25 = 13,709.25 : x
  2. Step 2: Convert to fraction form
    12,352.50/13,709.25 = 13,709.25/x
  3. Step 3: Cross multiply
    12,352.50x = 13,709.25 × 13,709.25
  4. Step 4: Simplify right side
    12,352.50x = 187,943,535.56
  5. Step 5: Solve for x
    x = 187,943,535.56/12,352.50
  6. Step 6: Final answer
    x = 15,215.02

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.