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Finding the Third Proportional to 17,853.75 and 39,109.50

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Solution

The third proportional to 17,853.75 and 39,109.50 is: 85,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.75 : 39,109.50 = 39,109.50 : x
  2. Step 2: Convert to fraction form
    17,853.75/39,109.50 = 39,109.50/x
  3. Step 3: Cross multiply
    17,853.75x = 39,109.50 × 39,109.50
  4. Step 4: Simplify right side
    17,853.75x = 1,529,552,990.25
  5. Step 5: Solve for x
    x = 1,529,552,990.25/17,853.75
  6. Step 6: Final answer
    x = 85,671.24

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