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Finding the Third Proportional to 28,884 and 38,635

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Solution

The third proportional to 28,884 and 38,635 is: 51,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,884 : 38,635 = 38,635 : x
  2. Step 2: Convert to fraction form
    28,884/38,635 = 38,635/x
  3. Step 3: Cross multiply
    28,884x = 38,635 × 38,635
  4. Step 4: Simplify right side
    28,884x = 1,492,663,225
  5. Step 5: Solve for x
    x = 1,492,663,225/28,884
  6. Step 6: Final answer
    x = 51,677.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.