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Finding the Third Proportional to 20,729 and 32,313

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Solution

The third proportional to 20,729 and 32,313 is: 50,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729 : 32,313 = 32,313 : x
  2. Step 2: Convert to fraction form
    20,729/32,313 = 32,313/x
  3. Step 3: Cross multiply
    20,729x = 32,313 × 32,313
  4. Step 4: Simplify right side
    20,729x = 1,044,129,969
  5. Step 5: Solve for x
    x = 1,044,129,969/20,729
  6. Step 6: Final answer
    x = 50,370.49

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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.