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Finding the Third Proportional to 10,825 and 16,237

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Solution

The third proportional to 10,825 and 16,237 is: 24,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825 : 16,237 = 16,237 : x
  2. Step 2: Convert to fraction form
    10,825/16,237 = 16,237/x
  3. Step 3: Cross multiply
    10,825x = 16,237 × 16,237
  4. Step 4: Simplify right side
    10,825x = 263,640,169
  5. Step 5: Solve for x
    x = 263,640,169/10,825
  6. Step 6: Final answer
    x = 24,354.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.