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Finding the Third Proportional to 14,247 and 22,380

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Solution

The third proportional to 14,247 and 22,380 is: 35,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,247 : 22,380 = 22,380 : x
  2. Step 2: Convert to fraction form
    14,247/22,380 = 22,380/x
  3. Step 3: Cross multiply
    14,247x = 22,380 × 22,380
  4. Step 4: Simplify right side
    14,247x = 500,864,400
  5. Step 5: Solve for x
    x = 500,864,400/14,247
  6. Step 6: Final answer
    x = 35,155.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.