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Finding the Third Proportional to 1,466.88 and 3,191.88

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Solution

The third proportional to 1,466.88 and 3,191.88 is: 6,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.88 : 3,191.88 = 3,191.88 : x
  2. Step 2: Convert to fraction form
    1,466.88/3,191.88 = 3,191.88/x
  3. Step 3: Cross multiply
    1,466.88x = 3,191.88 × 3,191.88
  4. Step 4: Simplify right side
    1,466.88x = 10,188,066.02
  5. Step 5: Solve for x
    x = 10,188,066.02/1,466.88
  6. Step 6: Final answer
    x = 6,945.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.