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Finding the Third Proportional to 20,182 and 25,534

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Solution

The third proportional to 20,182 and 25,534 is: 32,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182 : 25,534 = 25,534 : x
  2. Step 2: Convert to fraction form
    20,182/25,534 = 25,534/x
  3. Step 3: Cross multiply
    20,182x = 25,534 × 25,534
  4. Step 4: Simplify right side
    20,182x = 651,985,156
  5. Step 5: Solve for x
    x = 651,985,156/20,182
  6. Step 6: Final answer
    x = 32,305.28

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.