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Finding the Third Proportional to 1,576.25 and 3,304.25

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Solution

The third proportional to 1,576.25 and 3,304.25 is: 6,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.25 : 3,304.25 = 3,304.25 : x
  2. Step 2: Convert to fraction form
    1,576.25/3,304.25 = 3,304.25/x
  3. Step 3: Cross multiply
    1,576.25x = 3,304.25 × 3,304.25
  4. Step 4: Simplify right side
    1,576.25x = 10,918,068.06
  5. Step 5: Solve for x
    x = 10,918,068.06/1,576.25
  6. Step 6: Final answer
    x = 6,926.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.