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Finding the Third Proportional to 14,474 and 22,845

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Solution

The third proportional to 14,474 and 22,845 is: 36,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474 : 22,845 = 22,845 : x
  2. Step 2: Convert to fraction form
    14,474/22,845 = 22,845/x
  3. Step 3: Cross multiply
    14,474x = 22,845 × 22,845
  4. Step 4: Simplify right side
    14,474x = 521,894,025
  5. Step 5: Solve for x
    x = 521,894,025/14,474
  6. Step 6: Final answer
    x = 36,057.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.