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Finding the Third Proportional to 17,305 and 27,115.50

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Solution

The third proportional to 17,305 and 27,115.50 is: 42,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,305 : 27,115.50 = 27,115.50 : x
  2. Step 2: Convert to fraction form
    17,305/27,115.50 = 27,115.50/x
  3. Step 3: Cross multiply
    17,305x = 27,115.50 × 27,115.50
  4. Step 4: Simplify right side
    17,305x = 735,250,340.25
  5. Step 5: Solve for x
    x = 735,250,340.25/17,305
  6. Step 6: Final answer
    x = 42,487.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.