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Finding the Third Proportional to 1,700.25 and 3,918.75

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Solution

The third proportional to 1,700.25 and 3,918.75 is: 9,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.25 : 3,918.75 = 3,918.75 : x
  2. Step 2: Convert to fraction form
    1,700.25/3,918.75 = 3,918.75/x
  3. Step 3: Cross multiply
    1,700.25x = 3,918.75 × 3,918.75
  4. Step 4: Simplify right side
    1,700.25x = 15,356,601.56
  5. Step 5: Solve for x
    x = 15,356,601.56/1,700.25
  6. Step 6: Final answer
    x = 9,031.97

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.