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Finding the Third Proportional to 13,175.50 and 28,453.75

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Solution

The third proportional to 13,175.50 and 28,453.75 is: 61,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.50 : 28,453.75 = 28,453.75 : x
  2. Step 2: Convert to fraction form
    13,175.50/28,453.75 = 28,453.75/x
  3. Step 3: Cross multiply
    13,175.50x = 28,453.75 × 28,453.75
  4. Step 4: Simplify right side
    13,175.50x = 809,615,889.06
  5. Step 5: Solve for x
    x = 809,615,889.06/13,175.50
  6. Step 6: Final answer
    x = 61,448.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.