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Finding the Third Proportional to 2,175.47 and 3,304.69

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Solution

The third proportional to 2,175.47 and 3,304.69 is: 5,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.47 : 3,304.69 = 3,304.69 : x
  2. Step 2: Convert to fraction form
    2,175.47/3,304.69 = 3,304.69/x
  3. Step 3: Cross multiply
    2,175.47x = 3,304.69 × 3,304.69
  4. Step 4: Simplify right side
    2,175.47x = 10,920,959.47
  5. Step 5: Solve for x
    x = 10,920,959.47/2,175.47
  6. Step 6: Final answer
    x = 5,020.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.