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Finding the Third Proportional to 20,512 and 32,712

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Solution

The third proportional to 20,512 and 32,712 is: 52,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512 : 32,712 = 32,712 : x
  2. Step 2: Convert to fraction form
    20,512/32,712 = 32,712/x
  3. Step 3: Cross multiply
    20,512x = 32,712 × 32,712
  4. Step 4: Simplify right side
    20,512x = 1,070,074,944
  5. Step 5: Solve for x
    x = 1,070,074,944/20,512
  6. Step 6: Final answer
    x = 52,168.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.