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Finding the Third Proportional to 13,325.25 and 30,852

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Solution

The third proportional to 13,325.25 and 30,852 is: 71,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,325.25 : 30,852 = 30,852 : x
  2. Step 2: Convert to fraction form
    13,325.25/30,852 = 30,852/x
  3. Step 3: Cross multiply
    13,325.25x = 30,852 × 30,852
  4. Step 4: Simplify right side
    13,325.25x = 951,845,904
  5. Step 5: Solve for x
    x = 951,845,904/13,325.25
  6. Step 6: Final answer
    x = 71,431.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.