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Finding the Third Proportional to 36,007 and 56,969

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Solution

The third proportional to 36,007 and 56,969 is: 90,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,007 : 56,969 = 56,969 : x
  2. Step 2: Convert to fraction form
    36,007/56,969 = 56,969/x
  3. Step 3: Cross multiply
    36,007x = 56,969 × 56,969
  4. Step 4: Simplify right side
    36,007x = 3,245,466,961
  5. Step 5: Solve for x
    x = 3,245,466,961/36,007
  6. Step 6: Final answer
    x = 90,134.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.