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Finding the Third Proportional to 36,004 and 53,861

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Solution

The third proportional to 36,004 and 53,861 is: 80,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,004 : 53,861 = 53,861 : x
  2. Step 2: Convert to fraction form
    36,004/53,861 = 53,861/x
  3. Step 3: Cross multiply
    36,004x = 53,861 × 53,861
  4. Step 4: Simplify right side
    36,004x = 2,901,007,321
  5. Step 5: Solve for x
    x = 2,901,007,321/36,004
  6. Step 6: Final answer
    x = 80,574.58

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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.