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Finding the Third Proportional to 20,133 and 25,743

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Solution

The third proportional to 20,133 and 25,743 is: 32,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133 : 25,743 = 25,743 : x
  2. Step 2: Convert to fraction form
    20,133/25,743 = 25,743/x
  3. Step 3: Cross multiply
    20,133x = 25,743 × 25,743
  4. Step 4: Simplify right side
    20,133x = 662,702,049
  5. Step 5: Solve for x
    x = 662,702,049/20,133
  6. Step 6: Final answer
    x = 32,916.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.