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Finding the Third Proportional to 20,754 and 25,254

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Solution

The third proportional to 20,754 and 25,254 is: 30,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754 : 25,254 = 25,254 : x
  2. Step 2: Convert to fraction form
    20,754/25,254 = 25,254/x
  3. Step 3: Cross multiply
    20,754x = 25,254 × 25,254
  4. Step 4: Simplify right side
    20,754x = 637,764,516
  5. Step 5: Solve for x
    x = 637,764,516/20,754
  6. Step 6: Final answer
    x = 30,729.72

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.