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Finding the Third Proportional to 3,304.59 and 7,153.66

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Solution

The third proportional to 3,304.59 and 7,153.66 is: 15,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.59 : 7,153.66 = 7,153.66 : x
  2. Step 2: Convert to fraction form
    3,304.59/7,153.66 = 7,153.66/x
  3. Step 3: Cross multiply
    3,304.59x = 7,153.66 × 7,153.66
  4. Step 4: Simplify right side
    3,304.59x = 51,174,797.74
  5. Step 5: Solve for x
    x = 51,174,797.74/3,304.59
  6. Step 6: Final answer
    x = 15,485.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.