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Finding the Third Proportional to 1,246.25 and 2,700.25

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Solution

The third proportional to 1,246.25 and 2,700.25 is: 5,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.25 : 2,700.25 = 2,700.25 : x
  2. Step 2: Convert to fraction form
    1,246.25/2,700.25 = 2,700.25/x
  3. Step 3: Cross multiply
    1,246.25x = 2,700.25 × 2,700.25
  4. Step 4: Simplify right side
    1,246.25x = 7,291,350.06
  5. Step 5: Solve for x
    x = 7,291,350.06/1,246.25
  6. Step 6: Final answer
    x = 5,850.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.