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Finding the Third Proportional to 36,040 and 54,006

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Solution

The third proportional to 36,040 and 54,006 is: 80,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,040 : 54,006 = 54,006 : x
  2. Step 2: Convert to fraction form
    36,040/54,006 = 54,006/x
  3. Step 3: Cross multiply
    36,040x = 54,006 × 54,006
  4. Step 4: Simplify right side
    36,040x = 2,916,648,036
  5. Step 5: Solve for x
    x = 2,916,648,036/36,040
  6. Step 6: Final answer
    x = 80,928.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.