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Finding the Third Proportional to 20,901.75 and 32,739.75

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Solution

The third proportional to 20,901.75 and 32,739.75 is: 51,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.75 : 32,739.75 = 32,739.75 : x
  2. Step 2: Convert to fraction form
    20,901.75/32,739.75 = 32,739.75/x
  3. Step 3: Cross multiply
    20,901.75x = 32,739.75 × 32,739.75
  4. Step 4: Simplify right side
    20,901.75x = 1,071,891,230.06
  5. Step 5: Solve for x
    x = 1,071,891,230.06/20,901.75
  6. Step 6: Final answer
    x = 51,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.