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Finding the Third Proportional to 20,725.75 and 32,867.75

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Solution

The third proportional to 20,725.75 and 32,867.75 is: 52,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725.75 : 32,867.75 = 32,867.75 : x
  2. Step 2: Convert to fraction form
    20,725.75/32,867.75 = 32,867.75/x
  3. Step 3: Cross multiply
    20,725.75x = 32,867.75 × 32,867.75
  4. Step 4: Simplify right side
    20,725.75x = 1,080,288,990.06
  5. Step 5: Solve for x
    x = 1,080,288,990.06/20,725.75
  6. Step 6: Final answer
    x = 52,123.03

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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.