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Finding the Third Proportional to 1,475.25 and 3,208.88

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Solution

The third proportional to 1,475.25 and 3,208.88 is: 6,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.25 : 3,208.88 = 3,208.88 : x
  2. Step 2: Convert to fraction form
    1,475.25/3,208.88 = 3,208.88/x
  3. Step 3: Cross multiply
    1,475.25x = 3,208.88 × 3,208.88
  4. Step 4: Simplify right side
    1,475.25x = 10,296,878.77
  5. Step 5: Solve for x
    x = 10,296,878.77/1,475.25
  6. Step 6: Final answer
    x = 6,979.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.