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Finding the Third Proportional to 36,154 and 54,038

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Solution

The third proportional to 36,154 and 54,038 is: 80,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,154 : 54,038 = 54,038 : x
  2. Step 2: Convert to fraction form
    36,154/54,038 = 54,038/x
  3. Step 3: Cross multiply
    36,154x = 54,038 × 54,038
  4. Step 4: Simplify right side
    36,154x = 2,920,105,444
  5. Step 5: Solve for x
    x = 2,920,105,444/36,154
  6. Step 6: Final answer
    x = 80,768.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.