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Finding the Third Proportional to 32,197.13 and 69,933

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Solution

The third proportional to 32,197.13 and 69,933 is: 151,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.13 : 69,933 = 69,933 : x
  2. Step 2: Convert to fraction form
    32,197.13/69,933 = 69,933/x
  3. Step 3: Cross multiply
    32,197.13x = 69,933 × 69,933
  4. Step 4: Simplify right side
    32,197.13x = 4,890,624,489
  5. Step 5: Solve for x
    x = 4,890,624,489/32,197.13
  6. Step 6: Final answer
    x = 151,896.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.