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Finding the Third Proportional to 1,657.69 and 3,452.06

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Solution

The third proportional to 1,657.69 and 3,452.06 is: 7,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.69 : 3,452.06 = 3,452.06 : x
  2. Step 2: Convert to fraction form
    1,657.69/3,452.06 = 3,452.06/x
  3. Step 3: Cross multiply
    1,657.69x = 3,452.06 × 3,452.06
  4. Step 4: Simplify right side
    1,657.69x = 11,916,735.50
  5. Step 5: Solve for x
    x = 11,916,735.50/1,657.69
  6. Step 6: Final answer
    x = 7,188.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.