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Finding the Third Proportional to 3,486.88 and 7,664.75

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Solution

The third proportional to 3,486.88 and 7,664.75 is: 16,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.88 : 7,664.75 = 7,664.75 : x
  2. Step 2: Convert to fraction form
    3,486.88/7,664.75 = 7,664.75/x
  3. Step 3: Cross multiply
    3,486.88x = 7,664.75 × 7,664.75
  4. Step 4: Simplify right side
    3,486.88x = 58,748,392.56
  5. Step 5: Solve for x
    x = 58,748,392.56/3,486.88
  6. Step 6: Final answer
    x = 16,848.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.