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Finding the Third Proportional to 7,241.63 and 8,304.75

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Solution

The third proportional to 7,241.63 and 8,304.75 is: 9,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.63 : 8,304.75 = 8,304.75 : x
  2. Step 2: Convert to fraction form
    7,241.63/8,304.75 = 8,304.75/x
  3. Step 3: Cross multiply
    7,241.63x = 8,304.75 × 8,304.75
  4. Step 4: Simplify right side
    7,241.63x = 68,968,872.56
  5. Step 5: Solve for x
    x = 68,968,872.56/7,241.63
  6. Step 6: Final answer
    x = 9,523.95

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.