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Finding the Third Proportional to 3,029.25 and 6,657

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Solution

The third proportional to 3,029.25 and 6,657 is: 14,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.25 : 6,657 = 6,657 : x
  2. Step 2: Convert to fraction form
    3,029.25/6,657 = 6,657/x
  3. Step 3: Cross multiply
    3,029.25x = 6,657 × 6,657
  4. Step 4: Simplify right side
    3,029.25x = 44,315,649
  5. Step 5: Solve for x
    x = 44,315,649/3,029.25
  6. Step 6: Final answer
    x = 14,629.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.