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Finding the Third Proportional to 11,600 and 28,038

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Solution

The third proportional to 11,600 and 28,038 is: 67,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600 : 28,038 = 28,038 : x
  2. Step 2: Convert to fraction form
    11,600/28,038 = 28,038/x
  3. Step 3: Cross multiply
    11,600x = 28,038 × 28,038
  4. Step 4: Simplify right side
    11,600x = 786,129,444
  5. Step 5: Solve for x
    x = 786,129,444/11,600
  6. Step 6: Final answer
    x = 67,769.78

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.