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Finding the Third Proportional to 38,034 and 55,677

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Solution

The third proportional to 38,034 and 55,677 is: 81,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034 : 55,677 = 55,677 : x
  2. Step 2: Convert to fraction form
    38,034/55,677 = 55,677/x
  3. Step 3: Cross multiply
    38,034x = 55,677 × 55,677
  4. Step 4: Simplify right side
    38,034x = 3,099,928,329
  5. Step 5: Solve for x
    x = 3,099,928,329/38,034
  6. Step 6: Final answer
    x = 81,504.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.