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Finding the Third Proportional to 20,157 and 32,361.75

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Solution

The third proportional to 20,157 and 32,361.75 is: 51,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157 : 32,361.75 = 32,361.75 : x
  2. Step 2: Convert to fraction form
    20,157/32,361.75 = 32,361.75/x
  3. Step 3: Cross multiply
    20,157x = 32,361.75 × 32,361.75
  4. Step 4: Simplify right side
    20,157x = 1,047,282,863.06
  5. Step 5: Solve for x
    x = 1,047,282,863.06/20,157
  6. Step 6: Final answer
    x = 51,956.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.