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Finding the Third Proportional to 20,718 and 32,318

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Solution

The third proportional to 20,718 and 32,318 is: 50,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,718 : 32,318 = 32,318 : x
  2. Step 2: Convert to fraction form
    20,718/32,318 = 32,318/x
  3. Step 3: Cross multiply
    20,718x = 32,318 × 32,318
  4. Step 4: Simplify right side
    20,718x = 1,044,453,124
  5. Step 5: Solve for x
    x = 1,044,453,124/20,718
  6. Step 6: Final answer
    x = 50,412.84

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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.