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Finding the Third Proportional to 1,616.06 and 3,489.94

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Solution

The third proportional to 1,616.06 and 3,489.94 is: 7,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.06 : 3,489.94 = 3,489.94 : x
  2. Step 2: Convert to fraction form
    1,616.06/3,489.94 = 3,489.94/x
  3. Step 3: Cross multiply
    1,616.06x = 3,489.94 × 3,489.94
  4. Step 4: Simplify right side
    1,616.06x = 12,179,663.75
  5. Step 5: Solve for x
    x = 12,179,663.75/1,616.06
  6. Step 6: Final answer
    x = 7,536.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.