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Finding the Third Proportional to 17,673.50 and 36,577

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Solution

The third proportional to 17,673.50 and 36,577 is: 75,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.50 : 36,577 = 36,577 : x
  2. Step 2: Convert to fraction form
    17,673.50/36,577 = 36,577/x
  3. Step 3: Cross multiply
    17,673.50x = 36,577 × 36,577
  4. Step 4: Simplify right side
    17,673.50x = 1,337,876,929
  5. Step 5: Solve for x
    x = 1,337,876,929/17,673.50
  6. Step 6: Final answer
    x = 75,699.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.