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Finding the Third Proportional to 5,649.75 and 6,657.75

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Solution

The third proportional to 5,649.75 and 6,657.75 is: 7,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.75 : 6,657.75 = 6,657.75 : x
  2. Step 2: Convert to fraction form
    5,649.75/6,657.75 = 6,657.75/x
  3. Step 3: Cross multiply
    5,649.75x = 6,657.75 × 6,657.75
  4. Step 4: Simplify right side
    5,649.75x = 44,325,635.06
  5. Step 5: Solve for x
    x = 44,325,635.06/5,649.75
  6. Step 6: Final answer
    x = 7,845.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.