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Finding the Third Proportional to 36,007 and 53,865

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Solution

The third proportional to 36,007 and 53,865 is: 80,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,007 : 53,865 = 53,865 : x
  2. Step 2: Convert to fraction form
    36,007/53,865 = 53,865/x
  3. Step 3: Cross multiply
    36,007x = 53,865 × 53,865
  4. Step 4: Simplify right side
    36,007x = 2,901,438,225
  5. Step 5: Solve for x
    x = 2,901,438,225/36,007
  6. Step 6: Final answer
    x = 80,579.84

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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.