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Finding the Third Proportional to 17,559 and 37,586.25

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Solution

The third proportional to 17,559 and 37,586.25 is: 80,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,559 : 37,586.25 = 37,586.25 : x
  2. Step 2: Convert to fraction form
    17,559/37,586.25 = 37,586.25/x
  3. Step 3: Cross multiply
    17,559x = 37,586.25 × 37,586.25
  4. Step 4: Simplify right side
    17,559x = 1,412,726,189.06
  5. Step 5: Solve for x
    x = 1,412,726,189.06/17,559
  6. Step 6: Final answer
    x = 80,455.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.