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Finding the Third Proportional to 13,174.31 and 20,032.31

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Solution

The third proportional to 13,174.31 and 20,032.31 is: 30,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.31 : 20,032.31 = 20,032.31 : x
  2. Step 2: Convert to fraction form
    13,174.31/20,032.31 = 20,032.31/x
  3. Step 3: Cross multiply
    13,174.31x = 20,032.31 × 20,032.31
  4. Step 4: Simplify right side
    13,174.31x = 401,293,544.10
  5. Step 5: Solve for x
    x = 401,293,544.10/13,174.31
  6. Step 6: Final answer
    x = 30,460.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.