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Finding the Third Proportional to 11,361.56 and 24,302.63

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Solution

The third proportional to 11,361.56 and 24,302.63 is: 51,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.56 : 24,302.63 = 24,302.63 : x
  2. Step 2: Convert to fraction form
    11,361.56/24,302.63 = 24,302.63/x
  3. Step 3: Cross multiply
    11,361.56x = 24,302.63 × 24,302.63
  4. Step 4: Simplify right side
    11,361.56x = 590,617,581.89
  5. Step 5: Solve for x
    x = 590,617,581.89/11,361.56
  6. Step 6: Final answer
    x = 51,983.83

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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.