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Finding the Third Proportional to 38,070 and 54,837

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Solution

The third proportional to 38,070 and 54,837 is: 78,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070 : 54,837 = 54,837 : x
  2. Step 2: Convert to fraction form
    38,070/54,837 = 54,837/x
  3. Step 3: Cross multiply
    38,070x = 54,837 × 54,837
  4. Step 4: Simplify right side
    38,070x = 3,007,096,569
  5. Step 5: Solve for x
    x = 3,007,096,569/38,070
  6. Step 6: Final answer
    x = 78,988.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.