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Finding the Third Proportional to 14,447 and 20,271

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Solution

The third proportional to 14,447 and 20,271 is: 28,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447 : 20,271 = 20,271 : x
  2. Step 2: Convert to fraction form
    14,447/20,271 = 20,271/x
  3. Step 3: Cross multiply
    14,447x = 20,271 × 20,271
  4. Step 4: Simplify right side
    14,447x = 410,913,441
  5. Step 5: Solve for x
    x = 410,913,441/14,447
  6. Step 6: Final answer
    x = 28,442.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.