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Finding the Third Proportional to 20,975.25 and 32,739

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Solution

The third proportional to 20,975.25 and 32,739 is: 51,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.25 : 32,739 = 32,739 : x
  2. Step 2: Convert to fraction form
    20,975.25/32,739 = 32,739/x
  3. Step 3: Cross multiply
    20,975.25x = 32,739 × 32,739
  4. Step 4: Simplify right side
    20,975.25x = 1,071,842,121
  5. Step 5: Solve for x
    x = 1,071,842,121/20,975.25
  6. Step 6: Final answer
    x = 51,100.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.