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Finding the Third Proportional to 20,833 and 32,165

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Solution

The third proportional to 20,833 and 32,165 is: 49,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833 : 32,165 = 32,165 : x
  2. Step 2: Convert to fraction form
    20,833/32,165 = 32,165/x
  3. Step 3: Cross multiply
    20,833x = 32,165 × 32,165
  4. Step 4: Simplify right side
    20,833x = 1,034,587,225
  5. Step 5: Solve for x
    x = 1,034,587,225/20,833
  6. Step 6: Final answer
    x = 49,660.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.