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Finding the Third Proportional to 13,026.75 and 30,720.38

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Solution

The third proportional to 13,026.75 and 30,720.38 is: 72,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.75 : 30,720.38 = 30,720.38 : x
  2. Step 2: Convert to fraction form
    13,026.75/30,720.38 = 30,720.38/x
  3. Step 3: Cross multiply
    13,026.75x = 30,720.38 × 30,720.38
  4. Step 4: Simplify right side
    13,026.75x = 943,741,440.14
  5. Step 5: Solve for x
    x = 943,741,440.14/13,026.75
  6. Step 6: Final answer
    x = 72,446.42

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.