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Finding the Third Proportional to 20,304 and 32,724

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Solution

The third proportional to 20,304 and 32,724 is: 52,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304 : 32,724 = 32,724 : x
  2. Step 2: Convert to fraction form
    20,304/32,724 = 32,724/x
  3. Step 3: Cross multiply
    20,304x = 32,724 × 32,724
  4. Step 4: Simplify right side
    20,304x = 1,070,860,176
  5. Step 5: Solve for x
    x = 1,070,860,176/20,304
  6. Step 6: Final answer
    x = 52,741.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.