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Finding the Third Proportional to 9,747.21 and 13,938.96

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Solution

The third proportional to 9,747.21 and 13,938.96 is: 19,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.21 : 13,938.96 = 13,938.96 : x
  2. Step 2: Convert to fraction form
    9,747.21/13,938.96 = 13,938.96/x
  3. Step 3: Cross multiply
    9,747.21x = 13,938.96 × 13,938.96
  4. Step 4: Simplify right side
    9,747.21x = 194,294,632.02
  5. Step 5: Solve for x
    x = 194,294,632.02/9,747.21
  6. Step 6: Final answer
    x = 19,933.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.