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Finding the Third Proportional to 1,770.75 and 3,281.63

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Solution

The third proportional to 1,770.75 and 3,281.63 is: 6,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.75 : 3,281.63 = 3,281.63 : x
  2. Step 2: Convert to fraction form
    1,770.75/3,281.63 = 3,281.63/x
  3. Step 3: Cross multiply
    1,770.75x = 3,281.63 × 3,281.63
  4. Step 4: Simplify right side
    1,770.75x = 10,769,062.64
  5. Step 5: Solve for x
    x = 10,769,062.64/1,770.75
  6. Step 6: Final answer
    x = 6,081.64

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.