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Finding the Third Proportional to 1,648.97 and 3,558.09

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Solution

The third proportional to 1,648.97 and 3,558.09 is: 7,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.97 : 3,558.09 = 3,558.09 : x
  2. Step 2: Convert to fraction form
    1,648.97/3,558.09 = 3,558.09/x
  3. Step 3: Cross multiply
    1,648.97x = 3,558.09 × 3,558.09
  4. Step 4: Simplify right side
    1,648.97x = 12,660,031.13
  5. Step 5: Solve for x
    x = 12,660,031.13/1,648.97
  6. Step 6: Final answer
    x = 7,677.54

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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.