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Finding the Third Proportional to 13,135.50 and 28,455.75

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Solution

The third proportional to 13,135.50 and 28,455.75 is: 61,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.50 : 28,455.75 = 28,455.75 : x
  2. Step 2: Convert to fraction form
    13,135.50/28,455.75 = 28,455.75/x
  3. Step 3: Cross multiply
    13,135.50x = 28,455.75 × 28,455.75
  4. Step 4: Simplify right side
    13,135.50x = 809,729,708.06
  5. Step 5: Solve for x
    x = 809,729,708.06/13,135.50
  6. Step 6: Final answer
    x = 61,644.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.