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Finding the Third Proportional to 3,967.88 and 8,482.31

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Solution

The third proportional to 3,967.88 and 8,482.31 is: 18,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.88 : 8,482.31 = 8,482.31 : x
  2. Step 2: Convert to fraction form
    3,967.88/8,482.31 = 8,482.31/x
  3. Step 3: Cross multiply
    3,967.88x = 8,482.31 × 8,482.31
  4. Step 4: Simplify right side
    3,967.88x = 71,949,625.35
  5. Step 5: Solve for x
    x = 71,949,625.35/3,967.88
  6. Step 6: Final answer
    x = 18,133.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.