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Finding the Third Proportional to 10,933.31 and 23,421.94

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Solution

The third proportional to 10,933.31 and 23,421.94 is: 50,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.31 : 23,421.94 = 23,421.94 : x
  2. Step 2: Convert to fraction form
    10,933.31/23,421.94 = 23,421.94/x
  3. Step 3: Cross multiply
    10,933.31x = 23,421.94 × 23,421.94
  4. Step 4: Simplify right side
    10,933.31x = 548,587,156.25
  5. Step 5: Solve for x
    x = 548,587,156.25/10,933.31
  6. Step 6: Final answer
    x = 50,175.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.