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Finding the Third Proportional to 13,086.75 and 28,765.50

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Solution

The third proportional to 13,086.75 and 28,765.50 is: 63,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.75 : 28,765.50 = 28,765.50 : x
  2. Step 2: Convert to fraction form
    13,086.75/28,765.50 = 28,765.50/x
  3. Step 3: Cross multiply
    13,086.75x = 28,765.50 × 28,765.50
  4. Step 4: Simplify right side
    13,086.75x = 827,453,990.25
  5. Step 5: Solve for x
    x = 827,453,990.25/13,086.75
  6. Step 6: Final answer
    x = 63,228.38

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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.