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Finding the Third Proportional to 1,770.75 and 4,214.25

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Solution

The third proportional to 1,770.75 and 4,214.25 is: 10,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.75 : 4,214.25 = 4,214.25 : x
  2. Step 2: Convert to fraction form
    1,770.75/4,214.25 = 4,214.25/x
  3. Step 3: Cross multiply
    1,770.75x = 4,214.25 × 4,214.25
  4. Step 4: Simplify right side
    1,770.75x = 17,759,903.06
  5. Step 5: Solve for x
    x = 17,759,903.06/1,770.75
  6. Step 6: Final answer
    x = 10,029.59

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.