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Finding the Third Proportional to 27,100 and 38,677

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Solution

The third proportional to 27,100 and 38,677 is: 55,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100 : 38,677 = 38,677 : x
  2. Step 2: Convert to fraction form
    27,100/38,677 = 38,677/x
  3. Step 3: Cross multiply
    27,100x = 38,677 × 38,677
  4. Step 4: Simplify right side
    27,100x = 1,495,910,329
  5. Step 5: Solve for x
    x = 1,495,910,329/27,100
  6. Step 6: Final answer
    x = 55,199.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.