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Finding the Third Proportional to 17,533.13 and 39,234.38

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Solution

The third proportional to 17,533.13 and 39,234.38 is: 87,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.13 : 39,234.38 = 39,234.38 : x
  2. Step 2: Convert to fraction form
    17,533.13/39,234.38 = 39,234.38/x
  3. Step 3: Cross multiply
    17,533.13x = 39,234.38 × 39,234.38
  4. Step 4: Simplify right side
    17,533.13x = 1,539,336,181.64
  5. Step 5: Solve for x
    x = 1,539,336,181.64/17,533.13
  6. Step 6: Final answer
    x = 87,795.88

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.