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Finding the Third Proportional to 8,948 and 14,162

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Solution

The third proportional to 8,948 and 14,162 is: 22,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948 : 14,162 = 14,162 : x
  2. Step 2: Convert to fraction form
    8,948/14,162 = 14,162/x
  3. Step 3: Cross multiply
    8,948x = 14,162 × 14,162
  4. Step 4: Simplify right side
    8,948x = 200,562,244
  5. Step 5: Solve for x
    x = 200,562,244/8,948
  6. Step 6: Final answer
    x = 22,414.20

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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.