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Finding the Third Proportional to 32,032 and 50,914

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Solution

The third proportional to 32,032 and 50,914 is: 80,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032 : 50,914 = 50,914 : x
  2. Step 2: Convert to fraction form
    32,032/50,914 = 50,914/x
  3. Step 3: Cross multiply
    32,032x = 50,914 × 50,914
  4. Step 4: Simplify right side
    32,032x = 2,592,235,396
  5. Step 5: Solve for x
    x = 2,592,235,396/32,032
  6. Step 6: Final answer
    x = 80,926.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.