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Finding the Third Proportional to 18,109.75 and 39,234.25

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Solution

The third proportional to 18,109.75 and 39,234.25 is: 84,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,109.75 : 39,234.25 = 39,234.25 : x
  2. Step 2: Convert to fraction form
    18,109.75/39,234.25 = 39,234.25/x
  3. Step 3: Cross multiply
    18,109.75x = 39,234.25 × 39,234.25
  4. Step 4: Simplify right side
    18,109.75x = 1,539,326,373.06
  5. Step 5: Solve for x
    x = 1,539,326,373.06/18,109.75
  6. Step 6: Final answer
    x = 84,999.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.