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Finding the Third Proportional to 17,181.56 and 36,534.94

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Solution

The third proportional to 17,181.56 and 36,534.94 is: 77,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.56 : 36,534.94 = 36,534.94 : x
  2. Step 2: Convert to fraction form
    17,181.56/36,534.94 = 36,534.94/x
  3. Step 3: Cross multiply
    17,181.56x = 36,534.94 × 36,534.94
  4. Step 4: Simplify right side
    17,181.56x = 1,334,801,658.13
  5. Step 5: Solve for x
    x = 1,334,801,658.13/17,181.56
  6. Step 6: Final answer
    x = 77,688.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.