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Finding the Third Proportional to 13,863.75 and 21,309.38

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Solution

The third proportional to 13,863.75 and 21,309.38 is: 32,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.75 : 21,309.38 = 21,309.38 : x
  2. Step 2: Convert to fraction form
    13,863.75/21,309.38 = 21,309.38/x
  3. Step 3: Cross multiply
    13,863.75x = 21,309.38 × 21,309.38
  4. Step 4: Simplify right side
    13,863.75x = 454,089,462.89
  5. Step 5: Solve for x
    x = 454,089,462.89/13,863.75
  6. Step 6: Final answer
    x = 32,753.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.