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Finding the Third Proportional to 1,645.03 and 2,215.97

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Solution

The third proportional to 1,645.03 and 2,215.97 is: 2,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.03 : 2,215.97 = 2,215.97 : x
  2. Step 2: Convert to fraction form
    1,645.03/2,215.97 = 2,215.97/x
  3. Step 3: Cross multiply
    1,645.03x = 2,215.97 × 2,215.97
  4. Step 4: Simplify right side
    1,645.03x = 4,910,517.50
  5. Step 5: Solve for x
    x = 4,910,517.50/1,645.03
  6. Step 6: Final answer
    x = 2,985.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.