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Finding the Third Proportional to 20,582 and 32,331

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Solution

The third proportional to 20,582 and 32,331 is: 50,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582 : 32,331 = 32,331 : x
  2. Step 2: Convert to fraction form
    20,582/32,331 = 32,331/x
  3. Step 3: Cross multiply
    20,582x = 32,331 × 32,331
  4. Step 4: Simplify right side
    20,582x = 1,045,293,561
  5. Step 5: Solve for x
    x = 1,045,293,561/20,582
  6. Step 6: Final answer
    x = 50,786.78

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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.