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Finding the Third Proportional to 17,464.50 and 36,999

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Solution

The third proportional to 17,464.50 and 36,999 is: 78,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.50 : 36,999 = 36,999 : x
  2. Step 2: Convert to fraction form
    17,464.50/36,999 = 36,999/x
  3. Step 3: Cross multiply
    17,464.50x = 36,999 × 36,999
  4. Step 4: Simplify right side
    17,464.50x = 1,368,926,001
  5. Step 5: Solve for x
    x = 1,368,926,001/17,464.50
  6. Step 6: Final answer
    x = 78,383.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.