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Finding the Third Proportional to 16,534.88 and 36,174.75

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Solution

The third proportional to 16,534.88 and 36,174.75 is: 79,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.88 : 36,174.75 = 36,174.75 : x
  2. Step 2: Convert to fraction form
    16,534.88/36,174.75 = 36,174.75/x
  3. Step 3: Cross multiply
    16,534.88x = 36,174.75 × 36,174.75
  4. Step 4: Simplify right side
    16,534.88x = 1,308,612,537.56
  5. Step 5: Solve for x
    x = 1,308,612,537.56/16,534.88
  6. Step 6: Final answer
    x = 79,142.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.