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Finding the Third Proportional to 3,881.36 and 5,980.08

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Solution

The third proportional to 3,881.36 and 5,980.08 is: 9,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.36 : 5,980.08 = 5,980.08 : x
  2. Step 2: Convert to fraction form
    3,881.36/5,980.08 = 5,980.08/x
  3. Step 3: Cross multiply
    3,881.36x = 5,980.08 × 5,980.08
  4. Step 4: Simplify right side
    3,881.36x = 35,761,334.38
  5. Step 5: Solve for x
    x = 35,761,334.38/3,881.36
  6. Step 6: Final answer
    x = 9,213.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.