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Finding the Third Proportional to 28,271 and 38,395

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Solution

The third proportional to 28,271 and 38,395 is: 52,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,271 : 38,395 = 38,395 : x
  2. Step 2: Convert to fraction form
    28,271/38,395 = 38,395/x
  3. Step 3: Cross multiply
    28,271x = 38,395 × 38,395
  4. Step 4: Simplify right side
    28,271x = 1,474,176,025
  5. Step 5: Solve for x
    x = 1,474,176,025/28,271
  6. Step 6: Final answer
    x = 52,144.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.