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Finding the Third Proportional to 9,147.38 and 13,372.31

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Solution

The third proportional to 9,147.38 and 13,372.31 is: 19,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.38 : 13,372.31 = 13,372.31 : x
  2. Step 2: Convert to fraction form
    9,147.38/13,372.31 = 13,372.31/x
  3. Step 3: Cross multiply
    9,147.38x = 13,372.31 × 13,372.31
  4. Step 4: Simplify right side
    9,147.38x = 178,818,741.60
  5. Step 5: Solve for x
    x = 178,818,741.60/9,147.38
  6. Step 6: Final answer
    x = 19,548.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.