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Finding the Third Proportional to 1,657.97 and 3,475.41

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Solution

The third proportional to 1,657.97 and 3,475.41 is: 7,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.97 : 3,475.41 = 3,475.41 : x
  2. Step 2: Convert to fraction form
    1,657.97/3,475.41 = 3,475.41/x
  3. Step 3: Cross multiply
    1,657.97x = 3,475.41 × 3,475.41
  4. Step 4: Simplify right side
    1,657.97x = 12,078,448.60
  5. Step 5: Solve for x
    x = 12,078,448.60/1,657.97
  6. Step 6: Final answer
    x = 7,285.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.