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Finding the Third Proportional to 3,848.50 and 8,304.25

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Solution

The third proportional to 3,848.50 and 8,304.25 is: 17,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.50 : 8,304.25 = 8,304.25 : x
  2. Step 2: Convert to fraction form
    3,848.50/8,304.25 = 8,304.25/x
  3. Step 3: Cross multiply
    3,848.50x = 8,304.25 × 8,304.25
  4. Step 4: Simplify right side
    3,848.50x = 68,960,568.06
  5. Step 5: Solve for x
    x = 68,960,568.06/3,848.50
  6. Step 6: Final answer
    x = 17,918.82

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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.